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Finding the Third Proportional to 1,564,112 and 2,418,048

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Solution

The third proportional to 1,564,112 and 2,418,048 is: 3,738,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,112 : 2,418,048 = 2,418,048 : x
  2. Step 2: Convert to fraction form
    1,564,112/2,418,048 = 2,418,048/x
  3. Step 3: Cross multiply
    1,564,112x = 2,418,048 × 2,418,048
  4. Step 4: Simplify right side
    1,564,112x = 5,846,956,130,304
  5. Step 5: Solve for x
    x = 5,846,956,130,304/1,564,112
  6. Step 6: Final answer
    x = 3,738,195.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.