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Finding the Third Proportional to 822,698 and 1,242,787

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Solution

The third proportional to 822,698 and 1,242,787 is: 1,877,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,698 : 1,242,787 = 1,242,787 : x
  2. Step 2: Convert to fraction form
    822,698/1,242,787 = 1,242,787/x
  3. Step 3: Cross multiply
    822,698x = 1,242,787 × 1,242,787
  4. Step 4: Simplify right side
    822,698x = 1,544,519,527,369
  5. Step 5: Solve for x
    x = 1,544,519,527,369/822,698
  6. Step 6: Final answer
    x = 1,877,383.35

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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.