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Finding the Third Proportional to 3,159,897 and 4,767,763.50

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Solution

The third proportional to 3,159,897 and 4,767,763.50 is: 7,193,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,897 : 4,767,763.50 = 4,767,763.50 : x
  2. Step 2: Convert to fraction form
    3,159,897/4,767,763.50 = 4,767,763.50/x
  3. Step 3: Cross multiply
    3,159,897x = 4,767,763.50 × 4,767,763.50
  4. Step 4: Simplify right side
    3,159,897x = 22,731,568,791,932.25
  5. Step 5: Solve for x
    x = 22,731,568,791,932.25/3,159,897
  6. Step 6: Final answer
    x = 7,193,768.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.