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Finding the Third Proportional to 721,146 and 1,044,510

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Solution

The third proportional to 721,146 and 1,044,510 is: 1,512,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,146 : 1,044,510 = 1,044,510 : x
  2. Step 2: Convert to fraction form
    721,146/1,044,510 = 1,044,510/x
  3. Step 3: Cross multiply
    721,146x = 1,044,510 × 1,044,510
  4. Step 4: Simplify right side
    721,146x = 1,091,001,140,100
  5. Step 5: Solve for x
    x = 1,091,001,140,100/721,146
  6. Step 6: Final answer
    x = 1,512,871.37

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.