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Finding the Third Proportional to 632,315 and 1,523,871

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Solution

The third proportional to 632,315 and 1,523,871 is: 3,672,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,315 : 1,523,871 = 1,523,871 : x
  2. Step 2: Convert to fraction form
    632,315/1,523,871 = 1,523,871/x
  3. Step 3: Cross multiply
    632,315x = 1,523,871 × 1,523,871
  4. Step 4: Simplify right side
    632,315x = 2,322,182,824,641
  5. Step 5: Solve for x
    x = 2,322,182,824,641/632,315
  6. Step 6: Final answer
    x = 3,672,509.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.