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Finding the Third Proportional to 563,873 and 1,215,770

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Solution

The third proportional to 563,873 and 1,215,770 is: 2,621,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,873 : 1,215,770 = 1,215,770 : x
  2. Step 2: Convert to fraction form
    563,873/1,215,770 = 1,215,770/x
  3. Step 3: Cross multiply
    563,873x = 1,215,770 × 1,215,770
  4. Step 4: Simplify right side
    563,873x = 1,478,096,692,900
  5. Step 5: Solve for x
    x = 1,478,096,692,900/563,873
  6. Step 6: Final answer
    x = 2,621,329.08

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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.