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Finding the Third Proportional to 881,254 and 1,189,019

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Solution

The third proportional to 881,254 and 1,189,019 is: 1,604,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,254 : 1,189,019 = 1,189,019 : x
  2. Step 2: Convert to fraction form
    881,254/1,189,019 = 1,189,019/x
  3. Step 3: Cross multiply
    881,254x = 1,189,019 × 1,189,019
  4. Step 4: Simplify right side
    881,254x = 1,413,766,182,361
  5. Step 5: Solve for x
    x = 1,413,766,182,361/881,254
  6. Step 6: Final answer
    x = 1,604,266.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.