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Finding the Third Proportional to 563,876 and 1,215,777

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Solution

The third proportional to 563,876 and 1,215,777 is: 2,621,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,876 : 1,215,777 = 1,215,777 : x
  2. Step 2: Convert to fraction form
    563,876/1,215,777 = 1,215,777/x
  3. Step 3: Cross multiply
    563,876x = 1,215,777 × 1,215,777
  4. Step 4: Simplify right side
    563,876x = 1,478,113,713,729
  5. Step 5: Solve for x
    x = 1,478,113,713,729/563,876
  6. Step 6: Final answer
    x = 2,621,345.32

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Why These Related Problems?

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