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Finding the Third Proportional to 762,627.66 and 1,012,110.19

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Solution

The third proportional to 762,627.66 and 1,012,110.19 is: 1,343,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,627.66 : 1,012,110.19 = 1,012,110.19 : x
  2. Step 2: Convert to fraction form
    762,627.66/1,012,110.19 = 1,012,110.19/x
  3. Step 3: Cross multiply
    762,627.66x = 1,012,110.19 × 1,012,110.19
  4. Step 4: Simplify right side
    762,627.66x = 1,024,367,031,641.29
  5. Step 5: Solve for x
    x = 1,024,367,031,641.29/762,627.66
  6. Step 6: Final answer
    x = 1,343,207.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.