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Finding the Third Proportional to 758,853 and 1,625,294

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Solution

The third proportional to 758,853 and 1,625,294 is: 3,481,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,853 : 1,625,294 = 1,625,294 : x
  2. Step 2: Convert to fraction form
    758,853/1,625,294 = 1,625,294/x
  3. Step 3: Cross multiply
    758,853x = 1,625,294 × 1,625,294
  4. Step 4: Simplify right side
    758,853x = 2,641,580,586,436
  5. Step 5: Solve for x
    x = 2,641,580,586,436/758,853
  6. Step 6: Final answer
    x = 3,481,017.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.