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Finding the Third Proportional to 597,639 and 1,294,836

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Solution

The third proportional to 597,639 and 1,294,836 is: 2,805,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,639 : 1,294,836 = 1,294,836 : x
  2. Step 2: Convert to fraction form
    597,639/1,294,836 = 1,294,836/x
  3. Step 3: Cross multiply
    597,639x = 1,294,836 × 1,294,836
  4. Step 4: Simplify right side
    597,639x = 1,676,600,266,896
  5. Step 5: Solve for x
    x = 1,676,600,266,896/597,639
  6. Step 6: Final answer
    x = 2,805,372.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.