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Finding the Third Proportional to 464,040 and 1,017,720

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Solution

The third proportional to 464,040 and 1,017,720 is: 2,232,036.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,040 : 1,017,720 = 1,017,720 : x
  2. Step 2: Convert to fraction form
    464,040/1,017,720 = 1,017,720/x
  3. Step 3: Cross multiply
    464,040x = 1,017,720 × 1,017,720
  4. Step 4: Simplify right side
    464,040x = 1,035,753,998,400
  5. Step 5: Solve for x
    x = 1,035,753,998,400/464,040
  6. Step 6: Final answer
    x = 2,232,036.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.