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Finding the Third Proportional to 1,147,766 and 1,684,785

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Solution

The third proportional to 1,147,766 and 1,684,785 is: 2,473,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,766 : 1,684,785 = 1,684,785 : x
  2. Step 2: Convert to fraction form
    1,147,766/1,684,785 = 1,684,785/x
  3. Step 3: Cross multiply
    1,147,766x = 1,684,785 × 1,684,785
  4. Step 4: Simplify right side
    1,147,766x = 2,838,500,496,225
  5. Step 5: Solve for x
    x = 2,838,500,496,225/1,147,766
  6. Step 6: Final answer
    x = 2,473,065.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.