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Finding the Third Proportional to 1,002,442 and 2,161,370

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Solution

The third proportional to 1,002,442 and 2,161,370 is: 4,660,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,442 : 2,161,370 = 2,161,370 : x
  2. Step 2: Convert to fraction form
    1,002,442/2,161,370 = 2,161,370/x
  3. Step 3: Cross multiply
    1,002,442x = 2,161,370 × 2,161,370
  4. Step 4: Simplify right side
    1,002,442x = 4,671,520,276,900
  5. Step 5: Solve for x
    x = 4,671,520,276,900/1,002,442
  6. Step 6: Final answer
    x = 4,660,140.21

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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.