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Finding the Third Proportional to 695,002 and 1,502,430

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Solution

The third proportional to 695,002 and 1,502,430 is: 3,247,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,002 : 1,502,430 = 1,502,430 : x
  2. Step 2: Convert to fraction form
    695,002/1,502,430 = 1,502,430/x
  3. Step 3: Cross multiply
    695,002x = 1,502,430 × 1,502,430
  4. Step 4: Simplify right side
    695,002x = 2,257,295,904,900
  5. Step 5: Solve for x
    x = 2,257,295,904,900/695,002
  6. Step 6: Final answer
    x = 3,247,898.43

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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.