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Finding the Third Proportional to 563,456 and 1,233,664

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Solution

The third proportional to 563,456 and 1,233,664 is: 2,701,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,456 : 1,233,664 = 1,233,664 : x
  2. Step 2: Convert to fraction form
    563,456/1,233,664 = 1,233,664/x
  3. Step 3: Cross multiply
    563,456x = 1,233,664 × 1,233,664
  4. Step 4: Simplify right side
    563,456x = 1,521,926,864,896
  5. Step 5: Solve for x
    x = 1,521,926,864,896/563,456
  6. Step 6: Final answer
    x = 2,701,057.16

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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.