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Finding the Third Proportional to 573,948 and 1,251,237

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Solution

The third proportional to 573,948 and 1,251,237 is: 2,727,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,948 : 1,251,237 = 1,251,237 : x
  2. Step 2: Convert to fraction form
    573,948/1,251,237 = 1,251,237/x
  3. Step 3: Cross multiply
    573,948x = 1,251,237 × 1,251,237
  4. Step 4: Simplify right side
    573,948x = 1,565,594,030,169
  5. Step 5: Solve for x
    x = 1,565,594,030,169/573,948
  6. Step 6: Final answer
    x = 2,727,762.85

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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.