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Finding the Third Proportional to 865,734 and 1,331,433

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Solution

The third proportional to 865,734 and 1,331,433 is: 2,047,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,734 : 1,331,433 = 1,331,433 : x
  2. Step 2: Convert to fraction form
    865,734/1,331,433 = 1,331,433/x
  3. Step 3: Cross multiply
    865,734x = 1,331,433 × 1,331,433
  4. Step 4: Simplify right side
    865,734x = 1,772,713,833,489
  5. Step 5: Solve for x
    x = 1,772,713,833,489/865,734
  6. Step 6: Final answer
    x = 2,047,642.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.