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Finding the Third Proportional to 4,048,754 and 6,114,951

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Solution

The third proportional to 4,048,754 and 6,114,951 is: 9,235,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048,754 : 6,114,951 = 6,114,951 : x
  2. Step 2: Convert to fraction form
    4,048,754/6,114,951 = 6,114,951/x
  3. Step 3: Cross multiply
    4,048,754x = 6,114,951 × 6,114,951
  4. Step 4: Simplify right side
    4,048,754x = 37,392,625,732,401
  5. Step 5: Solve for x
    x = 37,392,625,732,401/4,048,754
  6. Step 6: Final answer
    x = 9,235,588.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.