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Finding the Third Proportional to 563,454 and 1,233,660

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Solution

The third proportional to 563,454 and 1,233,660 is: 2,701,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,454 : 1,233,660 = 1,233,660 : x
  2. Step 2: Convert to fraction form
    563,454/1,233,660 = 1,233,660/x
  3. Step 3: Cross multiply
    563,454x = 1,233,660 × 1,233,660
  4. Step 4: Simplify right side
    563,454x = 1,521,916,995,600
  5. Step 5: Solve for x
    x = 1,521,916,995,600/563,454
  6. Step 6: Final answer
    x = 2,701,049.23

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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.