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Finding the Third Proportional to 561,308 and 1,202,320

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Solution

The third proportional to 561,308 and 1,202,320 is: 2,575,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,308 : 1,202,320 = 1,202,320 : x
  2. Step 2: Convert to fraction form
    561,308/1,202,320 = 1,202,320/x
  3. Step 3: Cross multiply
    561,308x = 1,202,320 × 1,202,320
  4. Step 4: Simplify right side
    561,308x = 1,445,573,382,400
  5. Step 5: Solve for x
    x = 1,445,573,382,400/561,308
  6. Step 6: Final answer
    x = 2,575,365.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.