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Finding the Third Proportional to 575,448 and 1,265,100

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Solution

The third proportional to 575,448 and 1,265,100 is: 2,781,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,448 : 1,265,100 = 1,265,100 : x
  2. Step 2: Convert to fraction form
    575,448/1,265,100 = 1,265,100/x
  3. Step 3: Cross multiply
    575,448x = 1,265,100 × 1,265,100
  4. Step 4: Simplify right side
    575,448x = 1,600,478,010,000
  5. Step 5: Solve for x
    x = 1,600,478,010,000/575,448
  6. Step 6: Final answer
    x = 2,781,273.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.