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Finding the Third Proportional to 872,512 and 1,845,624

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Solution

The third proportional to 872,512 and 1,845,624 is: 3,904,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,512 : 1,845,624 = 1,845,624 : x
  2. Step 2: Convert to fraction form
    872,512/1,845,624 = 1,845,624/x
  3. Step 3: Cross multiply
    872,512x = 1,845,624 × 1,845,624
  4. Step 4: Simplify right side
    872,512x = 3,406,327,949,376
  5. Step 5: Solve for x
    x = 3,406,327,949,376/872,512
  6. Step 6: Final answer
    x = 3,904,047.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.