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Finding the Third Proportional to 1,034,436,628 and 1,550,141,763

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Solution

The third proportional to 1,034,436,628 and 1,550,141,763 is: 2,322,945,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,436,628 : 1,550,141,763 = 1,550,141,763 : x
  2. Step 2: Convert to fraction form
    1,034,436,628/1,550,141,763 = 1,550,141,763/x
  3. Step 3: Cross multiply
    1,034,436,628x = 1,550,141,763 × 1,550,141,763
  4. Step 4: Simplify right side
    1,034,436,628x = 2,402,939,485,396,748,288
  5. Step 5: Solve for x
    x = 2,402,939,485,396,748,288/1,034,436,628
  6. Step 6: Final answer
    x = 2,322,945,089.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.