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Finding the Third Proportional to 473,844 and 1,118,580

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Solution

The third proportional to 473,844 and 1,118,580 is: 2,640,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,844 : 1,118,580 = 1,118,580 : x
  2. Step 2: Convert to fraction form
    473,844/1,118,580 = 1,118,580/x
  3. Step 3: Cross multiply
    473,844x = 1,118,580 × 1,118,580
  4. Step 4: Simplify right side
    473,844x = 1,251,221,216,400
  5. Step 5: Solve for x
    x = 1,251,221,216,400/473,844
  6. Step 6: Final answer
    x = 2,640,576.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.