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Finding the Third Proportional to 614,132 and 1,333,164

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Solution

The third proportional to 614,132 and 1,333,164 is: 2,894,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,132 : 1,333,164 = 1,333,164 : x
  2. Step 2: Convert to fraction form
    614,132/1,333,164 = 1,333,164/x
  3. Step 3: Cross multiply
    614,132x = 1,333,164 × 1,333,164
  4. Step 4: Simplify right side
    614,132x = 1,777,326,250,896
  5. Step 5: Solve for x
    x = 1,777,326,250,896/614,132
  6. Step 6: Final answer
    x = 2,894,045.99

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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.