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Finding the Third Proportional to 763,052 and 1,180,979

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Solution

The third proportional to 763,052 and 1,180,979 is: 1,827,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,052 : 1,180,979 = 1,180,979 : x
  2. Step 2: Convert to fraction form
    763,052/1,180,979 = 1,180,979/x
  3. Step 3: Cross multiply
    763,052x = 1,180,979 × 1,180,979
  4. Step 4: Simplify right side
    763,052x = 1,394,711,398,441
  5. Step 5: Solve for x
    x = 1,394,711,398,441/763,052
  6. Step 6: Final answer
    x = 1,827,806.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.