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Finding the Third Proportional to 676,876.50 and 1,459,549.13

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Solution

The third proportional to 676,876.50 and 1,459,549.13 is: 3,147,226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,876.50 : 1,459,549.13 = 1,459,549.13 : x
  2. Step 2: Convert to fraction form
    676,876.50/1,459,549.13 = 1,459,549.13/x
  3. Step 3: Cross multiply
    676,876.50x = 1,459,549.13 × 1,459,549.13
  4. Step 4: Simplify right side
    676,876.50x = 2,130,283,648,288.27
  5. Step 5: Solve for x
    x = 2,130,283,648,288.27/676,876.50
  6. Step 6: Final answer
    x = 3,147,226.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.