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Finding the Third Proportional to 2,249,059.50 and 4,897,449

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Solution

The third proportional to 2,249,059.50 and 4,897,449 is: 10,664,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,059.50 : 4,897,449 = 4,897,449 : x
  2. Step 2: Convert to fraction form
    2,249,059.50/4,897,449 = 4,897,449/x
  3. Step 3: Cross multiply
    2,249,059.50x = 4,897,449 × 4,897,449
  4. Step 4: Simplify right side
    2,249,059.50x = 23,985,006,707,601
  5. Step 5: Solve for x
    x = 23,985,006,707,601/2,249,059.50
  6. Step 6: Final answer
    x = 10,664,460.73

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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.