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Finding the Third Proportional to 563,883 and 1,215,792

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Solution

The third proportional to 563,883 and 1,215,792 is: 2,621,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,883 : 1,215,792 = 1,215,792 : x
  2. Step 2: Convert to fraction form
    563,883/1,215,792 = 1,215,792/x
  3. Step 3: Cross multiply
    563,883x = 1,215,792 × 1,215,792
  4. Step 4: Simplify right side
    563,883x = 1,478,150,187,264
  5. Step 5: Solve for x
    x = 1,478,150,187,264/563,883
  6. Step 6: Final answer
    x = 2,621,377.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.