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Finding the Third Proportional to 1,454,858 and 3,142,024

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Solution

The third proportional to 1,454,858 and 3,142,024 is: 6,785,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,858 : 3,142,024 = 3,142,024 : x
  2. Step 2: Convert to fraction form
    1,454,858/3,142,024 = 3,142,024/x
  3. Step 3: Cross multiply
    1,454,858x = 3,142,024 × 3,142,024
  4. Step 4: Simplify right side
    1,454,858x = 9,872,314,816,576
  5. Step 5: Solve for x
    x = 9,872,314,816,576/1,454,858
  6. Step 6: Final answer
    x = 6,785,758.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.