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Finding the Third Proportional to 872,910 and 1,878,624

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Solution

The third proportional to 872,910 and 1,878,624 is: 4,043,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,910 : 1,878,624 = 1,878,624 : x
  2. Step 2: Convert to fraction form
    872,910/1,878,624 = 1,878,624/x
  3. Step 3: Cross multiply
    872,910x = 1,878,624 × 1,878,624
  4. Step 4: Simplify right side
    872,910x = 3,529,228,133,376
  5. Step 5: Solve for x
    x = 3,529,228,133,376/872,910
  6. Step 6: Final answer
    x = 4,043,060.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.