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Finding the Third Proportional to 778,212 and 1,704,051

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Solution

The third proportional to 778,212 and 1,704,051 is: 3,731,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,212 : 1,704,051 = 1,704,051 : x
  2. Step 2: Convert to fraction form
    778,212/1,704,051 = 1,704,051/x
  3. Step 3: Cross multiply
    778,212x = 1,704,051 × 1,704,051
  4. Step 4: Simplify right side
    778,212x = 2,903,789,810,601
  5. Step 5: Solve for x
    x = 2,903,789,810,601/778,212
  6. Step 6: Final answer
    x = 3,731,360.88

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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.