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Finding the Third Proportional to 4,249,737 and 6,410,184.75

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Solution

The third proportional to 4,249,737 and 6,410,184.75 is: 9,668,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249,737 : 6,410,184.75 = 6,410,184.75 : x
  2. Step 2: Convert to fraction form
    4,249,737/6,410,184.75 = 6,410,184.75/x
  3. Step 3: Cross multiply
    4,249,737x = 6,410,184.75 × 6,410,184.75
  4. Step 4: Simplify right side
    4,249,737x = 41,090,468,529,132.56
  5. Step 5: Solve for x
    x = 41,090,468,529,132.56/4,249,737
  6. Step 6: Final answer
    x = 9,668,943.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.