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Finding the Third Proportional to 2,205,342 and 4,748,587

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Solution

The third proportional to 2,205,342 and 4,748,587 is: 10,224,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,342 : 4,748,587 = 4,748,587 : x
  2. Step 2: Convert to fraction form
    2,205,342/4,748,587 = 4,748,587/x
  3. Step 3: Cross multiply
    2,205,342x = 4,748,587 × 4,748,587
  4. Step 4: Simplify right side
    2,205,342x = 22,549,078,496,569
  5. Step 5: Solve for x
    x = 22,549,078,496,569/2,205,342
  6. Step 6: Final answer
    x = 10,224,753.57

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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.