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Finding the Third Proportional to 652,117.50 and 1,390,902

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Solution

The third proportional to 652,117.50 and 1,390,902 is: 2,966,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,117.50 : 1,390,902 = 1,390,902 : x
  2. Step 2: Convert to fraction form
    652,117.50/1,390,902 = 1,390,902/x
  3. Step 3: Cross multiply
    652,117.50x = 1,390,902 × 1,390,902
  4. Step 4: Simplify right side
    652,117.50x = 1,934,608,373,604
  5. Step 5: Solve for x
    x = 1,934,608,373,604/652,117.50
  6. Step 6: Final answer
    x = 2,966,656.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.