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Finding the Third Proportional to 619,397 and 917,583

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Solution

The third proportional to 619,397 and 917,583 is: 1,359,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,397 : 917,583 = 917,583 : x
  2. Step 2: Convert to fraction form
    619,397/917,583 = 917,583/x
  3. Step 3: Cross multiply
    619,397x = 917,583 × 917,583
  4. Step 4: Simplify right side
    619,397x = 841,958,561,889
  5. Step 5: Solve for x
    x = 841,958,561,889/619,397
  6. Step 6: Final answer
    x = 1,359,319.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.