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Finding the Third Proportional to 597,128 and 924,540

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Solution

The third proportional to 597,128 and 924,540 is: 1,431,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,128 : 924,540 = 924,540 : x
  2. Step 2: Convert to fraction form
    597,128/924,540 = 924,540/x
  3. Step 3: Cross multiply
    597,128x = 924,540 × 924,540
  4. Step 4: Simplify right side
    597,128x = 854,774,211,600
  5. Step 5: Solve for x
    x = 854,774,211,600/597,128
  6. Step 6: Final answer
    x = 1,431,475.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.