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Finding the Third Proportional to 722,584 and 1,016,658

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Solution

The third proportional to 722,584 and 1,016,658 is: 1,430,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,584 : 1,016,658 = 1,016,658 : x
  2. Step 2: Convert to fraction form
    722,584/1,016,658 = 1,016,658/x
  3. Step 3: Cross multiply
    722,584x = 1,016,658 × 1,016,658
  4. Step 4: Simplify right side
    722,584x = 1,033,593,488,964
  5. Step 5: Solve for x
    x = 1,033,593,488,964/722,584
  6. Step 6: Final answer
    x = 1,430,412.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.