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Finding the Third Proportional to 431,748 and 916,110

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Solution

The third proportional to 431,748 and 916,110 is: 1,943,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,748 : 916,110 = 916,110 : x
  2. Step 2: Convert to fraction form
    431,748/916,110 = 916,110/x
  3. Step 3: Cross multiply
    431,748x = 916,110 × 916,110
  4. Step 4: Simplify right side
    431,748x = 839,257,532,100
  5. Step 5: Solve for x
    x = 839,257,532,100/431,748
  6. Step 6: Final answer
    x = 1,943,859.69

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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.