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Finding the Third Proportional to 1,342,128 and 2,982,624

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Solution

The third proportional to 1,342,128 and 2,982,624 is: 6,628,314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,128 : 2,982,624 = 2,982,624 : x
  2. Step 2: Convert to fraction form
    1,342,128/2,982,624 = 2,982,624/x
  3. Step 3: Cross multiply
    1,342,128x = 2,982,624 × 2,982,624
  4. Step 4: Simplify right side
    1,342,128x = 8,896,045,925,376
  5. Step 5: Solve for x
    x = 8,896,045,925,376/1,342,128
  6. Step 6: Final answer
    x = 6,628,314.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.