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Finding the Third Proportional to 876,312 and 1,910,448

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Solution

The third proportional to 876,312 and 1,910,448 is: 4,164,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,312 : 1,910,448 = 1,910,448 : x
  2. Step 2: Convert to fraction form
    876,312/1,910,448 = 1,910,448/x
  3. Step 3: Cross multiply
    876,312x = 1,910,448 × 1,910,448
  4. Step 4: Simplify right side
    876,312x = 3,649,811,560,704
  5. Step 5: Solve for x
    x = 3,649,811,560,704/876,312
  6. Step 6: Final answer
    x = 4,164,968.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.