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Finding the Third Proportional to 748,680 and 1,637,328

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Solution

The third proportional to 748,680 and 1,637,328 is: 3,580,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,680 : 1,637,328 = 1,637,328 : x
  2. Step 2: Convert to fraction form
    748,680/1,637,328 = 1,637,328/x
  3. Step 3: Cross multiply
    748,680x = 1,637,328 × 1,637,328
  4. Step 4: Simplify right side
    748,680x = 2,680,842,979,584
  5. Step 5: Solve for x
    x = 2,680,842,979,584/748,680
  6. Step 6: Final answer
    x = 3,580,759.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.