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Finding the Third Proportional to 729,435 and 1,516,854

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Solution

The third proportional to 729,435 and 1,516,854 is: 3,154,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,435 : 1,516,854 = 1,516,854 : x
  2. Step 2: Convert to fraction form
    729,435/1,516,854 = 1,516,854/x
  3. Step 3: Cross multiply
    729,435x = 1,516,854 × 1,516,854
  4. Step 4: Simplify right side
    729,435x = 2,300,846,057,316
  5. Step 5: Solve for x
    x = 2,300,846,057,316/729,435
  6. Step 6: Final answer
    x = 3,154,285.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.