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Finding the Third Proportional to 1,002,438 and 2,161,362

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Solution

The third proportional to 1,002,438 and 2,161,362 is: 4,660,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,438 : 2,161,362 = 2,161,362 : x
  2. Step 2: Convert to fraction form
    1,002,438/2,161,362 = 2,161,362/x
  3. Step 3: Cross multiply
    1,002,438x = 2,161,362 × 2,161,362
  4. Step 4: Simplify right side
    1,002,438x = 4,671,485,695,044
  5. Step 5: Solve for x
    x = 4,671,485,695,044/1,002,438
  6. Step 6: Final answer
    x = 4,660,124.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.