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Finding the Third Proportional to 1,654,142 and 3,583,086

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Solution

The third proportional to 1,654,142 and 3,583,086 is: 7,761,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,142 : 3,583,086 = 3,583,086 : x
  2. Step 2: Convert to fraction form
    1,654,142/3,583,086 = 3,583,086/x
  3. Step 3: Cross multiply
    1,654,142x = 3,583,086 × 3,583,086
  4. Step 4: Simplify right side
    1,654,142x = 12,838,505,283,396
  5. Step 5: Solve for x
    x = 12,838,505,283,396/1,654,142
  6. Step 6: Final answer
    x = 7,761,428.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.