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Finding the Third Proportional to 738,306 and 1,086,723

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Solution

The third proportional to 738,306 and 1,086,723 is: 1,599,562.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,306 : 1,086,723 = 1,086,723 : x
  2. Step 2: Convert to fraction form
    738,306/1,086,723 = 1,086,723/x
  3. Step 3: Cross multiply
    738,306x = 1,086,723 × 1,086,723
  4. Step 4: Simplify right side
    738,306x = 1,180,966,878,729
  5. Step 5: Solve for x
    x = 1,180,966,878,729/738,306
  6. Step 6: Final answer
    x = 1,599,562.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.