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Finding the Third Proportional to 2,886,724.50 and 4,035,810.75

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Solution

The third proportional to 2,886,724.50 and 4,035,810.75 is: 5,642,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,724.50 : 4,035,810.75 = 4,035,810.75 : x
  2. Step 2: Convert to fraction form
    2,886,724.50/4,035,810.75 = 4,035,810.75/x
  3. Step 3: Cross multiply
    2,886,724.50x = 4,035,810.75 × 4,035,810.75
  4. Step 4: Simplify right side
    2,886,724.50x = 16,287,768,409,815.56
  5. Step 5: Solve for x
    x = 16,287,768,409,815.56/2,886,724.50
  6. Step 6: Final answer
    x = 5,642,300.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.