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Finding the Third Proportional to 567,747 and 1,236,294

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Solution

The third proportional to 567,747 and 1,236,294 is: 2,692,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,747 : 1,236,294 = 1,236,294 : x
  2. Step 2: Convert to fraction form
    567,747/1,236,294 = 1,236,294/x
  3. Step 3: Cross multiply
    567,747x = 1,236,294 × 1,236,294
  4. Step 4: Simplify right side
    567,747x = 1,528,422,854,436
  5. Step 5: Solve for x
    x = 1,528,422,854,436/567,747
  6. Step 6: Final answer
    x = 2,692,084.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.