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Finding the Third Proportional to 2,564,358.75 and 3,957,561.28

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Solution

The third proportional to 2,564,358.75 and 3,957,561.28 is: 6,107,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,358.75 : 3,957,561.28 = 3,957,561.28 : x
  2. Step 2: Convert to fraction form
    2,564,358.75/3,957,561.28 = 3,957,561.28/x
  3. Step 3: Cross multiply
    2,564,358.75x = 3,957,561.28 × 3,957,561.28
  4. Step 4: Simplify right side
    2,564,358.75x = 15,662,291,294,849.14
  5. Step 5: Solve for x
    x = 15,662,291,294,849.14/2,564,358.75
  6. Step 6: Final answer
    x = 6,107,683.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.