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Finding the Third Proportional to 659,688 and 1,437,864

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Solution

The third proportional to 659,688 and 1,437,864 is: 3,133,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,688 : 1,437,864 = 1,437,864 : x
  2. Step 2: Convert to fraction form
    659,688/1,437,864 = 1,437,864/x
  3. Step 3: Cross multiply
    659,688x = 1,437,864 × 1,437,864
  4. Step 4: Simplify right side
    659,688x = 2,067,452,882,496
  5. Step 5: Solve for x
    x = 2,067,452,882,496/659,688
  6. Step 6: Final answer
    x = 3,133,985.89

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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.