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Finding the Third Proportional to 696,827 and 1,526,518

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Solution

The third proportional to 696,827 and 1,526,518 is: 3,344,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,827 : 1,526,518 = 1,526,518 : x
  2. Step 2: Convert to fraction form
    696,827/1,526,518 = 1,526,518/x
  3. Step 3: Cross multiply
    696,827x = 1,526,518 × 1,526,518
  4. Step 4: Simplify right side
    696,827x = 2,330,257,204,324
  5. Step 5: Solve for x
    x = 2,330,257,204,324/696,827
  6. Step 6: Final answer
    x = 3,344,097.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.