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Finding the Third Proportional to 1,577,520 and 2,575,692

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Solution

The third proportional to 1,577,520 and 2,575,692 is: 4,205,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,520 : 2,575,692 = 2,575,692 : x
  2. Step 2: Convert to fraction form
    1,577,520/2,575,692 = 2,575,692/x
  3. Step 3: Cross multiply
    1,577,520x = 2,575,692 × 2,575,692
  4. Step 4: Simplify right side
    1,577,520x = 6,634,189,278,864
  5. Step 5: Solve for x
    x = 6,634,189,278,864/1,577,520
  6. Step 6: Final answer
    x = 4,205,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.