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Finding the Third Proportional to 625,814 and 1,345,973

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Solution

The third proportional to 625,814 and 1,345,973 is: 2,894,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,814 : 1,345,973 = 1,345,973 : x
  2. Step 2: Convert to fraction form
    625,814/1,345,973 = 1,345,973/x
  3. Step 3: Cross multiply
    625,814x = 1,345,973 × 1,345,973
  4. Step 4: Simplify right side
    625,814x = 1,811,643,316,729
  5. Step 5: Solve for x
    x = 1,811,643,316,729/625,814
  6. Step 6: Final answer
    x = 2,894,859.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.