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Finding the Third Proportional to 717,732 and 1,045,467

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Solution

The third proportional to 717,732 and 1,045,467 is: 1,522,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,732 : 1,045,467 = 1,045,467 : x
  2. Step 2: Convert to fraction form
    717,732/1,045,467 = 1,045,467/x
  3. Step 3: Cross multiply
    717,732x = 1,045,467 × 1,045,467
  4. Step 4: Simplify right side
    717,732x = 1,093,001,248,089
  5. Step 5: Solve for x
    x = 1,093,001,248,089/717,732
  6. Step 6: Final answer
    x = 1,522,854.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.