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Finding the Third Proportional to 424,246 and 914,908

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Solution

The third proportional to 424,246 and 914,908 is: 1,973,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,246 : 914,908 = 914,908 : x
  2. Step 2: Convert to fraction form
    424,246/914,908 = 914,908/x
  3. Step 3: Cross multiply
    424,246x = 914,908 × 914,908
  4. Step 4: Simplify right side
    424,246x = 837,056,648,464
  5. Step 5: Solve for x
    x = 837,056,648,464/424,246
  6. Step 6: Final answer
    x = 1,973,045.47

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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.