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Finding the Third Proportional to 582,860 and 1,254,294

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Solution

The third proportional to 582,860 and 1,254,294 is: 2,699,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,860 : 1,254,294 = 1,254,294 : x
  2. Step 2: Convert to fraction form
    582,860/1,254,294 = 1,254,294/x
  3. Step 3: Cross multiply
    582,860x = 1,254,294 × 1,254,294
  4. Step 4: Simplify right side
    582,860x = 1,573,253,438,436
  5. Step 5: Solve for x
    x = 1,573,253,438,436/582,860
  6. Step 6: Final answer
    x = 2,699,196.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.