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Finding the Third Proportional to 427,377 and 914,046

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Solution

The third proportional to 427,377 and 914,046 is: 1,954,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,377 : 914,046 = 914,046 : x
  2. Step 2: Convert to fraction form
    427,377/914,046 = 914,046/x
  3. Step 3: Cross multiply
    427,377x = 914,046 × 914,046
  4. Step 4: Simplify right side
    427,377x = 835,480,090,116
  5. Step 5: Solve for x
    x = 835,480,090,116/427,377
  6. Step 6: Final answer
    x = 1,954,901.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.