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Finding the Third Proportional to 2,140,397.50 and 3,139,640

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Solution

The third proportional to 2,140,397.50 and 3,139,640 is: 4,605,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,397.50 : 3,139,640 = 3,139,640 : x
  2. Step 2: Convert to fraction form
    2,140,397.50/3,139,640 = 3,139,640/x
  3. Step 3: Cross multiply
    2,140,397.50x = 3,139,640 × 3,139,640
  4. Step 4: Simplify right side
    2,140,397.50x = 9,857,339,329,600
  5. Step 5: Solve for x
    x = 9,857,339,329,600/2,140,397.50
  6. Step 6: Final answer
    x = 4,605,377.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.