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Finding the Third Proportional to 497,414 and 1,065,743

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Solution

The third proportional to 497,414 and 1,065,743 is: 2,283,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,414 : 1,065,743 = 1,065,743 : x
  2. Step 2: Convert to fraction form
    497,414/1,065,743 = 1,065,743/x
  3. Step 3: Cross multiply
    497,414x = 1,065,743 × 1,065,743
  4. Step 4: Simplify right side
    497,414x = 1,135,808,142,049
  5. Step 5: Solve for x
    x = 1,135,808,142,049/497,414
  6. Step 6: Final answer
    x = 2,283,426.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.