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Finding the Third Proportional to 846,682 and 1,206,959

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Solution

The third proportional to 846,682 and 1,206,959 is: 1,720,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,682 : 1,206,959 = 1,206,959 : x
  2. Step 2: Convert to fraction form
    846,682/1,206,959 = 1,206,959/x
  3. Step 3: Cross multiply
    846,682x = 1,206,959 × 1,206,959
  4. Step 4: Simplify right side
    846,682x = 1,456,750,027,681
  5. Step 5: Solve for x
    x = 1,456,750,027,681/846,682
  6. Step 6: Final answer
    x = 1,720,539.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.