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Finding the Third Proportional to 696,864 and 1,526,520

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Solution

The third proportional to 696,864 and 1,526,520 is: 3,343,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,864 : 1,526,520 = 1,526,520 : x
  2. Step 2: Convert to fraction form
    696,864/1,526,520 = 1,526,520/x
  3. Step 3: Cross multiply
    696,864x = 1,526,520 × 1,526,520
  4. Step 4: Simplify right side
    696,864x = 2,330,263,310,400
  5. Step 5: Solve for x
    x = 2,330,263,310,400/696,864
  6. Step 6: Final answer
    x = 3,343,928.39

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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.