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Finding the Third Proportional to 778,632 and 1,681,552

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Solution

The third proportional to 778,632 and 1,681,552 is: 3,631,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,632 : 1,681,552 = 1,681,552 : x
  2. Step 2: Convert to fraction form
    778,632/1,681,552 = 1,681,552/x
  3. Step 3: Cross multiply
    778,632x = 1,681,552 × 1,681,552
  4. Step 4: Simplify right side
    778,632x = 2,827,617,128,704
  5. Step 5: Solve for x
    x = 2,827,617,128,704/778,632
  6. Step 6: Final answer
    x = 3,631,519.29

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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.