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Finding the Third Proportional to 1,002,456 and 1,645,680

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Solution

The third proportional to 1,002,456 and 1,645,680 is: 2,701,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,456 : 1,645,680 = 1,645,680 : x
  2. Step 2: Convert to fraction form
    1,002,456/1,645,680 = 1,645,680/x
  3. Step 3: Cross multiply
    1,002,456x = 1,645,680 × 1,645,680
  4. Step 4: Simplify right side
    1,002,456x = 2,708,262,662,400
  5. Step 5: Solve for x
    x = 2,708,262,662,400/1,002,456
  6. Step 6: Final answer
    x = 2,701,627.47

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.