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Finding the Third Proportional to 1,434,342 and 3,121,032

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Solution

The third proportional to 1,434,342 and 3,121,032 is: 6,791,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,342 : 3,121,032 = 3,121,032 : x
  2. Step 2: Convert to fraction form
    1,434,342/3,121,032 = 3,121,032/x
  3. Step 3: Cross multiply
    1,434,342x = 3,121,032 × 3,121,032
  4. Step 4: Simplify right side
    1,434,342x = 9,740,840,745,024
  5. Step 5: Solve for x
    x = 9,740,840,745,024/1,434,342
  6. Step 6: Final answer
    x = 6,791,156.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.