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Finding the Third Proportional to 845,864 and 1,245,432

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Solution

The third proportional to 845,864 and 1,245,432 is: 1,833,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,864 : 1,245,432 = 1,245,432 : x
  2. Step 2: Convert to fraction form
    845,864/1,245,432 = 1,245,432/x
  3. Step 3: Cross multiply
    845,864x = 1,245,432 × 1,245,432
  4. Step 4: Simplify right side
    845,864x = 1,551,100,866,624
  5. Step 5: Solve for x
    x = 1,551,100,866,624/845,864
  6. Step 6: Final answer
    x = 1,833,747.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.