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Finding the Third Proportional to 1,329,817.50 and 1,947,300.75

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Solution

The third proportional to 1,329,817.50 and 1,947,300.75 is: 2,851,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,817.50 : 1,947,300.75 = 1,947,300.75 : x
  2. Step 2: Convert to fraction form
    1,329,817.50/1,947,300.75 = 1,947,300.75/x
  3. Step 3: Cross multiply
    1,329,817.50x = 1,947,300.75 × 1,947,300.75
  4. Step 4: Simplify right side
    1,329,817.50x = 3,791,980,210,950.56
  5. Step 5: Solve for x
    x = 3,791,980,210,950.56/1,329,817.50
  6. Step 6: Final answer
    x = 2,851,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.