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Finding the Third Proportional to 914,434 and 1,421,475

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Solution

The third proportional to 914,434 and 1,421,475 is: 2,209,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,434 : 1,421,475 = 1,421,475 : x
  2. Step 2: Convert to fraction form
    914,434/1,421,475 = 1,421,475/x
  3. Step 3: Cross multiply
    914,434x = 1,421,475 × 1,421,475
  4. Step 4: Simplify right side
    914,434x = 2,020,591,175,625
  5. Step 5: Solve for x
    x = 2,020,591,175,625/914,434
  6. Step 6: Final answer
    x = 2,209,663.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.