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Finding the Third Proportional to 748,422 and 1,640,358

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Solution

The third proportional to 748,422 and 1,640,358 is: 3,595,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,422 : 1,640,358 = 1,640,358 : x
  2. Step 2: Convert to fraction form
    748,422/1,640,358 = 1,640,358/x
  3. Step 3: Cross multiply
    748,422x = 1,640,358 × 1,640,358
  4. Step 4: Simplify right side
    748,422x = 2,690,774,368,164
  5. Step 5: Solve for x
    x = 2,690,774,368,164/748,422
  6. Step 6: Final answer
    x = 3,595,263.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.