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Finding the Third Proportional to 687,962.50 and 1,459,181

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Solution

The third proportional to 687,962.50 and 1,459,181 is: 3,094,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,962.50 : 1,459,181 = 1,459,181 : x
  2. Step 2: Convert to fraction form
    687,962.50/1,459,181 = 1,459,181/x
  3. Step 3: Cross multiply
    687,962.50x = 1,459,181 × 1,459,181
  4. Step 4: Simplify right side
    687,962.50x = 2,129,209,190,761
  5. Step 5: Solve for x
    x = 2,129,209,190,761/687,962.50
  6. Step 6: Final answer
    x = 3,094,949.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.