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Finding the Third Proportional to 586,817 and 1,251,143

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Solution

The third proportional to 586,817 and 1,251,143 is: 2,667,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,817 : 1,251,143 = 1,251,143 : x
  2. Step 2: Convert to fraction form
    586,817/1,251,143 = 1,251,143/x
  3. Step 3: Cross multiply
    586,817x = 1,251,143 × 1,251,143
  4. Step 4: Simplify right side
    586,817x = 1,565,358,806,449
  5. Step 5: Solve for x
    x = 1,565,358,806,449/586,817
  6. Step 6: Final answer
    x = 2,667,541.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.