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Finding the Third Proportional to 578,708 and 1,269,472

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Solution

The third proportional to 578,708 and 1,269,472 is: 2,784,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,708 : 1,269,472 = 1,269,472 : x
  2. Step 2: Convert to fraction form
    578,708/1,269,472 = 1,269,472/x
  3. Step 3: Cross multiply
    578,708x = 1,269,472 × 1,269,472
  4. Step 4: Simplify right side
    578,708x = 1,611,559,158,784
  5. Step 5: Solve for x
    x = 1,611,559,158,784/578,708
  6. Step 6: Final answer
    x = 2,784,753.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.