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Finding the Third Proportional to 2,184,432.50 and 4,788,769

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Solution

The third proportional to 2,184,432.50 and 4,788,769 is: 10,498,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,432.50 : 4,788,769 = 4,788,769 : x
  2. Step 2: Convert to fraction form
    2,184,432.50/4,788,769 = 4,788,769/x
  3. Step 3: Cross multiply
    2,184,432.50x = 4,788,769 × 4,788,769
  4. Step 4: Simplify right side
    2,184,432.50x = 22,932,308,535,361
  5. Step 5: Solve for x
    x = 22,932,308,535,361/2,184,432.50
  6. Step 6: Final answer
    x = 10,498,062.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.