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Finding the Third Proportional to 508,410 and 1,084,374

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Solution

The third proportional to 508,410 and 1,084,374 is: 2,312,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,410 : 1,084,374 = 1,084,374 : x
  2. Step 2: Convert to fraction form
    508,410/1,084,374 = 1,084,374/x
  3. Step 3: Cross multiply
    508,410x = 1,084,374 × 1,084,374
  4. Step 4: Simplify right side
    508,410x = 1,175,866,971,876
  5. Step 5: Solve for x
    x = 1,175,866,971,876/508,410
  6. Step 6: Final answer
    x = 2,312,832.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.