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Finding the Third Proportional to 1,003,716 and 2,165,040

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Solution

The third proportional to 1,003,716 and 2,165,040 is: 4,670,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,716 : 2,165,040 = 2,165,040 : x
  2. Step 2: Convert to fraction form
    1,003,716/2,165,040 = 2,165,040/x
  3. Step 3: Cross multiply
    1,003,716x = 2,165,040 × 2,165,040
  4. Step 4: Simplify right side
    1,003,716x = 4,687,398,201,600
  5. Step 5: Solve for x
    x = 4,687,398,201,600/1,003,716
  6. Step 6: Final answer
    x = 4,670,044.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.