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Finding the Third Proportional to 731,528 and 1,044,069

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Solution

The third proportional to 731,528 and 1,044,069 is: 1,490,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,528 : 1,044,069 = 1,044,069 : x
  2. Step 2: Convert to fraction form
    731,528/1,044,069 = 1,044,069/x
  3. Step 3: Cross multiply
    731,528x = 1,044,069 × 1,044,069
  4. Step 4: Simplify right side
    731,528x = 1,090,080,076,761
  5. Step 5: Solve for x
    x = 1,090,080,076,761/731,528
  6. Step 6: Final answer
    x = 1,490,141.29

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.