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Finding the Third Proportional to 696,829 and 1,526,522

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Solution

The third proportional to 696,829 and 1,526,522 is: 3,344,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,829 : 1,526,522 = 1,526,522 : x
  2. Step 2: Convert to fraction form
    696,829/1,526,522 = 1,526,522/x
  3. Step 3: Cross multiply
    696,829x = 1,526,522 × 1,526,522
  4. Step 4: Simplify right side
    696,829x = 2,330,269,416,484
  5. Step 5: Solve for x
    x = 2,330,269,416,484/696,829
  6. Step 6: Final answer
    x = 3,344,105.11

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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.