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Finding the Third Proportional to 722,128 and 1,009,531

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Solution

The third proportional to 722,128 and 1,009,531 is: 1,411,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,128 : 1,009,531 = 1,009,531 : x
  2. Step 2: Convert to fraction form
    722,128/1,009,531 = 1,009,531/x
  3. Step 3: Cross multiply
    722,128x = 1,009,531 × 1,009,531
  4. Step 4: Simplify right side
    722,128x = 1,019,152,839,961
  5. Step 5: Solve for x
    x = 1,019,152,839,961/722,128
  6. Step 6: Final answer
    x = 1,411,318.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.