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Finding the Third Proportional to 540,470 and 1,251,221

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Solution

The third proportional to 540,470 and 1,251,221 is: 2,896,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,470 : 1,251,221 = 1,251,221 : x
  2. Step 2: Convert to fraction form
    540,470/1,251,221 = 1,251,221/x
  3. Step 3: Cross multiply
    540,470x = 1,251,221 × 1,251,221
  4. Step 4: Simplify right side
    540,470x = 1,565,553,990,841
  5. Step 5: Solve for x
    x = 1,565,553,990,841/540,470
  6. Step 6: Final answer
    x = 2,896,652.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.