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Finding the Third Proportional to 1,784,110 and 2,872,688

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Solution

The third proportional to 1,784,110 and 2,872,688 is: 4,625,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,110 : 2,872,688 = 2,872,688 : x
  2. Step 2: Convert to fraction form
    1,784,110/2,872,688 = 2,872,688/x
  3. Step 3: Cross multiply
    1,784,110x = 2,872,688 × 2,872,688
  4. Step 4: Simplify right side
    1,784,110x = 8,252,336,345,344
  5. Step 5: Solve for x
    x = 8,252,336,345,344/1,784,110
  6. Step 6: Final answer
    x = 4,625,463.87

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.