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Finding the Third Proportional to 640,546 and 1,482,708

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Solution

The third proportional to 640,546 and 1,482,708 is: 3,432,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,546 : 1,482,708 = 1,482,708 : x
  2. Step 2: Convert to fraction form
    640,546/1,482,708 = 1,482,708/x
  3. Step 3: Cross multiply
    640,546x = 1,482,708 × 1,482,708
  4. Step 4: Simplify right side
    640,546x = 2,198,423,013,264
  5. Step 5: Solve for x
    x = 2,198,423,013,264/640,546
  6. Step 6: Final answer
    x = 3,432,107.94

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.