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Finding the Third Proportional to 827,079 and 1,791,559

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Solution

The third proportional to 827,079 and 1,791,559 is: 3,880,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,079 : 1,791,559 = 1,791,559 : x
  2. Step 2: Convert to fraction form
    827,079/1,791,559 = 1,791,559/x
  3. Step 3: Cross multiply
    827,079x = 1,791,559 × 1,791,559
  4. Step 4: Simplify right side
    827,079x = 3,209,683,650,481
  5. Step 5: Solve for x
    x = 3,209,683,650,481/827,079
  6. Step 6: Final answer
    x = 3,880,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.