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Finding the Third Proportional to 573,964 and 1,251,270

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Solution

The third proportional to 573,964 and 1,251,270 is: 2,727,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,964 : 1,251,270 = 1,251,270 : x
  2. Step 2: Convert to fraction form
    573,964/1,251,270 = 1,251,270/x
  3. Step 3: Cross multiply
    573,964x = 1,251,270 × 1,251,270
  4. Step 4: Simplify right side
    573,964x = 1,565,676,612,900
  5. Step 5: Solve for x
    x = 1,565,676,612,900/573,964
  6. Step 6: Final answer
    x = 2,727,830.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.