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Finding the Third Proportional to 424,254 and 914,924

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Solution

The third proportional to 424,254 and 914,924 is: 1,973,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,254 : 914,924 = 914,924 : x
  2. Step 2: Convert to fraction form
    424,254/914,924 = 914,924/x
  3. Step 3: Cross multiply
    424,254x = 914,924 × 914,924
  4. Step 4: Simplify right side
    424,254x = 837,085,925,776
  5. Step 5: Solve for x
    x = 837,085,925,776/424,254
  6. Step 6: Final answer
    x = 1,973,077.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.