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Finding the Third Proportional to 3,090,384.77 and 4,543,082.44

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Solution

The third proportional to 3,090,384.77 and 4,543,082.44 is: 6,678,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090,384.77 : 4,543,082.44 = 4,543,082.44 : x
  2. Step 2: Convert to fraction form
    3,090,384.77/4,543,082.44 = 4,543,082.44/x
  3. Step 3: Cross multiply
    3,090,384.77x = 4,543,082.44 × 4,543,082.44
  4. Step 4: Simplify right side
    3,090,384.77x = 20,639,598,033,920.94
  5. Step 5: Solve for x
    x = 20,639,598,033,920.94/3,090,384.77
  6. Step 6: Final answer
    x = 6,678,649.92

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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.