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Finding the Third Proportional to 467,488 and 1,023,432

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Solution

The third proportional to 467,488 and 1,023,432 is: 2,240,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,488 : 1,023,432 = 1,023,432 : x
  2. Step 2: Convert to fraction form
    467,488/1,023,432 = 1,023,432/x
  3. Step 3: Cross multiply
    467,488x = 1,023,432 × 1,023,432
  4. Step 4: Simplify right side
    467,488x = 1,047,413,058,624
  5. Step 5: Solve for x
    x = 1,047,413,058,624/467,488
  6. Step 6: Final answer
    x = 2,240,513.25

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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.