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Finding the Third Proportional to 604,902 and 912,213

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Solution

The third proportional to 604,902 and 912,213 is: 1,375,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,902 : 912,213 = 912,213 : x
  2. Step 2: Convert to fraction form
    604,902/912,213 = 912,213/x
  3. Step 3: Cross multiply
    604,902x = 912,213 × 912,213
  4. Step 4: Simplify right side
    604,902x = 832,132,557,369
  5. Step 5: Solve for x
    x = 832,132,557,369/604,902
  6. Step 6: Final answer
    x = 1,375,648.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.