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Finding the Third Proportional to 1,421,969.55 and 2,012,043.80

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Solution

The third proportional to 1,421,969.55 and 2,012,043.80 is: 2,846,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,969.55 : 2,012,043.80 = 2,012,043.80 : x
  2. Step 2: Convert to fraction form
    1,421,969.55/2,012,043.80 = 2,012,043.80/x
  3. Step 3: Cross multiply
    1,421,969.55x = 2,012,043.80 × 2,012,043.80
  4. Step 4: Simplify right side
    1,421,969.55x = 4,048,320,240,543.17
  5. Step 5: Solve for x
    x = 4,048,320,240,543.17/1,421,969.55
  6. Step 6: Final answer
    x = 2,846,980.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.