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Finding the Third Proportional to 1,034,197,351.50 and 1,646,407,929

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Solution

The third proportional to 1,034,197,351.50 and 1,646,407,929 is: 2,621,026,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,197,351.50 : 1,646,407,929 = 1,646,407,929 : x
  2. Step 2: Convert to fraction form
    1,034,197,351.50/1,646,407,929 = 1,646,407,929/x
  3. Step 3: Cross multiply
    1,034,197,351.50x = 1,646,407,929 × 1,646,407,929
  4. Step 4: Simplify right side
    1,034,197,351.50x = 2,710,659,068,674,068,992
  5. Step 5: Solve for x
    x = 2,710,659,068,674,068,992/1,034,197,351.50
  6. Step 6: Final answer
    x = 2,621,026,890.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.