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Finding the Third Proportional to 1,139,153 and 1,602,142

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Solution

The third proportional to 1,139,153 and 1,602,142 is: 2,253,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,153 : 1,602,142 = 1,602,142 : x
  2. Step 2: Convert to fraction form
    1,139,153/1,602,142 = 1,602,142/x
  3. Step 3: Cross multiply
    1,139,153x = 1,602,142 × 1,602,142
  4. Step 4: Simplify right side
    1,139,153x = 2,566,858,988,164
  5. Step 5: Solve for x
    x = 2,566,858,988,164/1,139,153
  6. Step 6: Final answer
    x = 2,253,304.86

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.