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Finding the Third Proportional to 1,215,355.50 and 2,649,402

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Solution

The third proportional to 1,215,355.50 and 2,649,402 is: 5,775,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,355.50 : 2,649,402 = 2,649,402 : x
  2. Step 2: Convert to fraction form
    1,215,355.50/2,649,402 = 2,649,402/x
  3. Step 3: Cross multiply
    1,215,355.50x = 2,649,402 × 2,649,402
  4. Step 4: Simplify right side
    1,215,355.50x = 7,019,330,957,604
  5. Step 5: Solve for x
    x = 7,019,330,957,604/1,215,355.50
  6. Step 6: Final answer
    x = 5,775,537.25

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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.