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Finding the Third Proportional to 822,676 and 1,242,762

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Solution

The third proportional to 822,676 and 1,242,762 is: 1,877,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,676 : 1,242,762 = 1,242,762 : x
  2. Step 2: Convert to fraction form
    822,676/1,242,762 = 1,242,762/x
  3. Step 3: Cross multiply
    822,676x = 1,242,762 × 1,242,762
  4. Step 4: Simplify right side
    822,676x = 1,544,457,388,644
  5. Step 5: Solve for x
    x = 1,544,457,388,644/822,676
  6. Step 6: Final answer
    x = 1,877,358.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.