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Finding the Third Proportional to 1,410,496 and 2,148,792

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Solution

The third proportional to 1,410,496 and 2,148,792 is: 3,273,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,496 : 2,148,792 = 2,148,792 : x
  2. Step 2: Convert to fraction form
    1,410,496/2,148,792 = 2,148,792/x
  3. Step 3: Cross multiply
    1,410,496x = 2,148,792 × 2,148,792
  4. Step 4: Simplify right side
    1,410,496x = 4,617,307,059,264
  5. Step 5: Solve for x
    x = 4,617,307,059,264/1,410,496
  6. Step 6: Final answer
    x = 3,273,534.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.