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Finding the Third Proportional to 539,628 and 791,946

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Solution

The third proportional to 539,628 and 791,946 is: 1,162,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,628 : 791,946 = 791,946 : x
  2. Step 2: Convert to fraction form
    539,628/791,946 = 791,946/x
  3. Step 3: Cross multiply
    539,628x = 791,946 × 791,946
  4. Step 4: Simplify right side
    539,628x = 627,178,466,916
  5. Step 5: Solve for x
    x = 627,178,466,916/539,628
  6. Step 6: Final answer
    x = 1,162,242.26

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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.