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Finding the Third Proportional to 2,406,172.50 and 5,350,326

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Solution

The third proportional to 2,406,172.50 and 5,350,326 is: 11,896,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406,172.50 : 5,350,326 = 5,350,326 : x
  2. Step 2: Convert to fraction form
    2,406,172.50/5,350,326 = 5,350,326/x
  3. Step 3: Cross multiply
    2,406,172.50x = 5,350,326 × 5,350,326
  4. Step 4: Simplify right side
    2,406,172.50x = 28,625,988,306,276
  5. Step 5: Solve for x
    x = 28,625,988,306,276/2,406,172.50
  6. Step 6: Final answer
    x = 11,896,897.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.