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Finding the Third Proportional to 929,178 and 1,308,531

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Solution

The third proportional to 929,178 and 1,308,531 is: 1,842,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,178 : 1,308,531 = 1,308,531 : x
  2. Step 2: Convert to fraction form
    929,178/1,308,531 = 1,308,531/x
  3. Step 3: Cross multiply
    929,178x = 1,308,531 × 1,308,531
  4. Step 4: Simplify right side
    929,178x = 1,712,253,377,961
  5. Step 5: Solve for x
    x = 1,712,253,377,961/929,178
  6. Step 6: Final answer
    x = 1,842,761.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.