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Finding the Third Proportional to 575,416 and 1,265,040

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Solution

The third proportional to 575,416 and 1,265,040 is: 2,781,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,416 : 1,265,040 = 1,265,040 : x
  2. Step 2: Convert to fraction form
    575,416/1,265,040 = 1,265,040/x
  3. Step 3: Cross multiply
    575,416x = 1,265,040 × 1,265,040
  4. Step 4: Simplify right side
    575,416x = 1,600,326,201,600
  5. Step 5: Solve for x
    x = 1,600,326,201,600/575,416
  6. Step 6: Final answer
    x = 2,781,163.89

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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.