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Finding the Third Proportional to 2,046,477 and 4,456,018

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Solution

The third proportional to 2,046,477 and 4,456,018 is: 9,702,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,477 : 4,456,018 = 4,456,018 : x
  2. Step 2: Convert to fraction form
    2,046,477/4,456,018 = 4,456,018/x
  3. Step 3: Cross multiply
    2,046,477x = 4,456,018 × 4,456,018
  4. Step 4: Simplify right side
    2,046,477x = 19,856,096,416,324
  5. Step 5: Solve for x
    x = 19,856,096,416,324/2,046,477
  6. Step 6: Final answer
    x = 9,702,574.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.