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Finding the Third Proportional to 614,128 and 1,333,156

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Solution

The third proportional to 614,128 and 1,333,156 is: 2,894,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,128 : 1,333,156 = 1,333,156 : x
  2. Step 2: Convert to fraction form
    614,128/1,333,156 = 1,333,156/x
  3. Step 3: Cross multiply
    614,128x = 1,333,156 × 1,333,156
  4. Step 4: Simplify right side
    614,128x = 1,777,304,920,336
  5. Step 5: Solve for x
    x = 1,777,304,920,336/614,128
  6. Step 6: Final answer
    x = 2,894,030.11

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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.