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Finding the Third Proportional to 584,070 and 1,255,404

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Solution

The third proportional to 584,070 and 1,255,404 is: 2,698,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,070 : 1,255,404 = 1,255,404 : x
  2. Step 2: Convert to fraction form
    584,070/1,255,404 = 1,255,404/x
  3. Step 3: Cross multiply
    584,070x = 1,255,404 × 1,255,404
  4. Step 4: Simplify right side
    584,070x = 1,576,039,203,216
  5. Step 5: Solve for x
    x = 1,576,039,203,216/584,070
  6. Step 6: Final answer
    x = 2,698,373.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.