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Finding the Third Proportional to 563,864 and 1,215,754

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Solution

The third proportional to 563,864 and 1,215,754 is: 2,621,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,864 : 1,215,754 = 1,215,754 : x
  2. Step 2: Convert to fraction form
    563,864/1,215,754 = 1,215,754/x
  3. Step 3: Cross multiply
    563,864x = 1,215,754 × 1,215,754
  4. Step 4: Simplify right side
    563,864x = 1,478,057,788,516
  5. Step 5: Solve for x
    x = 1,478,057,788,516/563,864
  6. Step 6: Final answer
    x = 2,621,301.92

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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.