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Finding the Third Proportional to 4,435,203 and 6,484,422

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Solution

The third proportional to 4,435,203 and 6,484,422 is: 9,480,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435,203 : 6,484,422 = 6,484,422 : x
  2. Step 2: Convert to fraction form
    4,435,203/6,484,422 = 6,484,422/x
  3. Step 3: Cross multiply
    4,435,203x = 6,484,422 × 6,484,422
  4. Step 4: Simplify right side
    4,435,203x = 42,047,728,674,084
  5. Step 5: Solve for x
    x = 42,047,728,674,084/4,435,203
  6. Step 6: Final answer
    x = 9,480,451.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.