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Finding the Third Proportional to 715,283 and 1,002,615

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Solution

The third proportional to 715,283 and 1,002,615 is: 1,405,369.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,283 : 1,002,615 = 1,002,615 : x
  2. Step 2: Convert to fraction form
    715,283/1,002,615 = 1,002,615/x
  3. Step 3: Cross multiply
    715,283x = 1,002,615 × 1,002,615
  4. Step 4: Simplify right side
    715,283x = 1,005,236,838,225
  5. Step 5: Solve for x
    x = 1,005,236,838,225/715,283
  6. Step 6: Final answer
    x = 1,405,369.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.