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Finding the Third Proportional to 1,826,432.50 and 2,908,776.50

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Solution

The third proportional to 1,826,432.50 and 2,908,776.50 is: 4,632,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826,432.50 : 2,908,776.50 = 2,908,776.50 : x
  2. Step 2: Convert to fraction form
    1,826,432.50/2,908,776.50 = 2,908,776.50/x
  3. Step 3: Cross multiply
    1,826,432.50x = 2,908,776.50 × 2,908,776.50
  4. Step 4: Simplify right side
    1,826,432.50x = 8,460,980,726,952.25
  5. Step 5: Solve for x
    x = 8,460,980,726,952.25/1,826,432.50
  6. Step 6: Final answer
    x = 4,632,517.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.