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Finding the Third Proportional to 777,570 and 1,704,606.75

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Solution

The third proportional to 777,570 and 1,704,606.75 is: 3,736,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,570 : 1,704,606.75 = 1,704,606.75 : x
  2. Step 2: Convert to fraction form
    777,570/1,704,606.75 = 1,704,606.75/x
  3. Step 3: Cross multiply
    777,570x = 1,704,606.75 × 1,704,606.75
  4. Step 4: Simplify right side
    777,570x = 2,905,684,172,145.56
  5. Step 5: Solve for x
    x = 2,905,684,172,145.56/777,570
  6. Step 6: Final answer
    x = 3,736,877.93

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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.