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Finding the Third Proportional to 4,223,806.50 and 6,346,956.19

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Solution

The third proportional to 4,223,806.50 and 6,346,956.19 is: 9,537,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223,806.50 : 6,346,956.19 = 6,346,956.19 : x
  2. Step 2: Convert to fraction form
    4,223,806.50/6,346,956.19 = 6,346,956.19/x
  3. Step 3: Cross multiply
    4,223,806.50x = 6,346,956.19 × 6,346,956.19
  4. Step 4: Simplify right side
    4,223,806.50x = 40,283,852,846,044.53
  5. Step 5: Solve for x
    x = 40,283,852,846,044.53/4,223,806.50
  6. Step 6: Final answer
    x = 9,537,333.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.