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Finding the Third Proportional to 626,143.50 and 1,340,830.50

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Solution

The third proportional to 626,143.50 and 1,340,830.50 is: 2,871,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,143.50 : 1,340,830.50 = 1,340,830.50 : x
  2. Step 2: Convert to fraction form
    626,143.50/1,340,830.50 = 1,340,830.50/x
  3. Step 3: Cross multiply
    626,143.50x = 1,340,830.50 × 1,340,830.50
  4. Step 4: Simplify right side
    626,143.50x = 1,797,826,429,730.25
  5. Step 5: Solve for x
    x = 1,797,826,429,730.25/626,143.50
  6. Step 6: Final answer
    x = 2,871,269.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.