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Finding the Third Proportional to 822,672 and 1,242,756

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Solution

The third proportional to 822,672 and 1,242,756 is: 1,877,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,672 : 1,242,756 = 1,242,756 : x
  2. Step 2: Convert to fraction form
    822,672/1,242,756 = 1,242,756/x
  3. Step 3: Cross multiply
    822,672x = 1,242,756 × 1,242,756
  4. Step 4: Simplify right side
    822,672x = 1,544,442,475,536
  5. Step 5: Solve for x
    x = 1,544,442,475,536/822,672
  6. Step 6: Final answer
    x = 1,877,349.02

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