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Finding the Third Proportional to 581,678 and 1,230,422

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Solution

The third proportional to 581,678 and 1,230,422 is: 2,602,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,678 : 1,230,422 = 1,230,422 : x
  2. Step 2: Convert to fraction form
    581,678/1,230,422 = 1,230,422/x
  3. Step 3: Cross multiply
    581,678x = 1,230,422 × 1,230,422
  4. Step 4: Simplify right side
    581,678x = 1,513,938,298,084
  5. Step 5: Solve for x
    x = 1,513,938,298,084/581,678
  6. Step 6: Final answer
    x = 2,602,708.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.