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Finding the Third Proportional to 3,476,737.69 and 5,114,598.19

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Solution

The third proportional to 3,476,737.69 and 5,114,598.19 is: 7,524,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476,737.69 : 5,114,598.19 = 5,114,598.19 : x
  2. Step 2: Convert to fraction form
    3,476,737.69/5,114,598.19 = 5,114,598.19/x
  3. Step 3: Cross multiply
    3,476,737.69x = 5,114,598.19 × 5,114,598.19
  4. Step 4: Simplify right side
    3,476,737.69x = 26,159,114,619,578.29
  5. Step 5: Solve for x
    x = 26,159,114,619,578.29/3,476,737.69
  6. Step 6: Final answer
    x = 7,524,040.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.