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Finding the Third Proportional to 782,569 and 1,244,858

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Solution

The third proportional to 782,569 and 1,244,858 is: 1,980,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,569 : 1,244,858 = 1,244,858 : x
  2. Step 2: Convert to fraction form
    782,569/1,244,858 = 1,244,858/x
  3. Step 3: Cross multiply
    782,569x = 1,244,858 × 1,244,858
  4. Step 4: Simplify right side
    782,569x = 1,549,671,440,164
  5. Step 5: Solve for x
    x = 1,549,671,440,164/782,569
  6. Step 6: Final answer
    x = 1,980,236.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.