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Finding the Third Proportional to 2,412,598.45 and 3,675,499.11

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Solution

The third proportional to 2,412,598.45 and 3,675,499.11 is: 5,599,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,598.45 : 3,675,499.11 = 3,675,499.11 : x
  2. Step 2: Convert to fraction form
    2,412,598.45/3,675,499.11 = 3,675,499.11/x
  3. Step 3: Cross multiply
    2,412,598.45x = 3,675,499.11 × 3,675,499.11
  4. Step 4: Simplify right side
    2,412,598.45x = 13,509,293,710,193.93
  5. Step 5: Solve for x
    x = 13,509,293,710,193.93/2,412,598.45
  6. Step 6: Final answer
    x = 5,599,478.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.