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Finding the Third Proportional to 1,454,862 and 3,142,032

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Solution

The third proportional to 1,454,862 and 3,142,032 is: 6,785,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,862 : 3,142,032 = 3,142,032 : x
  2. Step 2: Convert to fraction form
    1,454,862/3,142,032 = 3,142,032/x
  3. Step 3: Cross multiply
    1,454,862x = 3,142,032 × 3,142,032
  4. Step 4: Simplify right side
    1,454,862x = 9,872,365,089,024
  5. Step 5: Solve for x
    x = 9,872,365,089,024/1,454,862
  6. Step 6: Final answer
    x = 6,785,774.24

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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.