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Finding the Third Proportional to 696,816 and 1,526,496

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Solution

The third proportional to 696,816 and 1,526,496 is: 3,344,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,816 : 1,526,496 = 1,526,496 : x
  2. Step 2: Convert to fraction form
    696,816/1,526,496 = 1,526,496/x
  3. Step 3: Cross multiply
    696,816x = 1,526,496 × 1,526,496
  4. Step 4: Simplify right side
    696,816x = 2,330,190,038,016
  5. Step 5: Solve for x
    x = 2,330,190,038,016/696,816
  6. Step 6: Final answer
    x = 3,344,053.58

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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.