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Finding the Third Proportional to 729,712 and 1,567,310

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Solution

The third proportional to 729,712 and 1,567,310 is: 3,366,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,712 : 1,567,310 = 1,567,310 : x
  2. Step 2: Convert to fraction form
    729,712/1,567,310 = 1,567,310/x
  3. Step 3: Cross multiply
    729,712x = 1,567,310 × 1,567,310
  4. Step 4: Simplify right side
    729,712x = 2,456,460,636,100
  5. Step 5: Solve for x
    x = 2,456,460,636,100/729,712
  6. Step 6: Final answer
    x = 3,366,342.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.