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Finding the Third Proportional to 623,391 and 1,363,422

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Solution

The third proportional to 623,391 and 1,363,422 is: 2,981,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,391 : 1,363,422 = 1,363,422 : x
  2. Step 2: Convert to fraction form
    623,391/1,363,422 = 1,363,422/x
  3. Step 3: Cross multiply
    623,391x = 1,363,422 × 1,363,422
  4. Step 4: Simplify right side
    623,391x = 1,858,919,550,084
  5. Step 5: Solve for x
    x = 1,858,919,550,084/623,391
  6. Step 6: Final answer
    x = 2,981,948.01

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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.