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Finding the Third Proportional to 676,575 and 1,472,254.88

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Solution

The third proportional to 676,575 and 1,472,254.88 is: 3,203,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,575 : 1,472,254.88 = 1,472,254.88 : x
  2. Step 2: Convert to fraction form
    676,575/1,472,254.88 = 1,472,254.88/x
  3. Step 3: Cross multiply
    676,575x = 1,472,254.88 × 1,472,254.88
  4. Step 4: Simplify right side
    676,575x = 2,167,534,416,961.27
  5. Step 5: Solve for x
    x = 2,167,534,416,961.27/676,575
  6. Step 6: Final answer
    x = 3,203,686.83

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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.