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Finding the Third Proportional to 822,987 and 1,314,213

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Solution

The third proportional to 822,987 and 1,314,213 is: 2,098,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,987 : 1,314,213 = 1,314,213 : x
  2. Step 2: Convert to fraction form
    822,987/1,314,213 = 1,314,213/x
  3. Step 3: Cross multiply
    822,987x = 1,314,213 × 1,314,213
  4. Step 4: Simplify right side
    822,987x = 1,727,155,809,369
  5. Step 5: Solve for x
    x = 1,727,155,809,369/822,987
  6. Step 6: Final answer
    x = 2,098,642.88

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.