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Finding the Third Proportional to 625,821 and 1,345,953

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Solution

The third proportional to 625,821 and 1,345,953 is: 2,894,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,821 : 1,345,953 = 1,345,953 : x
  2. Step 2: Convert to fraction form
    625,821/1,345,953 = 1,345,953/x
  3. Step 3: Cross multiply
    625,821x = 1,345,953 × 1,345,953
  4. Step 4: Simplify right side
    625,821x = 1,811,589,478,209
  5. Step 5: Solve for x
    x = 1,811,589,478,209/625,821
  6. Step 6: Final answer
    x = 2,894,740.63

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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.