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Finding the Third Proportional to 837,248 and 1,763,432

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Solution

The third proportional to 837,248 and 1,763,432 is: 3,714,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,248 : 1,763,432 = 1,763,432 : x
  2. Step 2: Convert to fraction form
    837,248/1,763,432 = 1,763,432/x
  3. Step 3: Cross multiply
    837,248x = 1,763,432 × 1,763,432
  4. Step 4: Simplify right side
    837,248x = 3,109,692,418,624
  5. Step 5: Solve for x
    x = 3,109,692,418,624/837,248
  6. Step 6: Final answer
    x = 3,714,183.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.