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Finding the Third Proportional to 1,025,002 and 2,207,468

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Solution

The third proportional to 1,025,002 and 2,207,468 is: 4,754,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,002 : 2,207,468 = 2,207,468 : x
  2. Step 2: Convert to fraction form
    1,025,002/2,207,468 = 2,207,468/x
  3. Step 3: Cross multiply
    1,025,002x = 2,207,468 × 2,207,468
  4. Step 4: Simplify right side
    1,025,002x = 4,872,914,971,024
  5. Step 5: Solve for x
    x = 4,872,914,971,024/1,025,002
  6. Step 6: Final answer
    x = 4,754,054.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.