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Finding the Third Proportional to 1,476,243 and 3,228,210

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Solution

The third proportional to 1,476,243 and 3,228,210 is: 7,059,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,243 : 3,228,210 = 3,228,210 : x
  2. Step 2: Convert to fraction form
    1,476,243/3,228,210 = 3,228,210/x
  3. Step 3: Cross multiply
    1,476,243x = 3,228,210 × 3,228,210
  4. Step 4: Simplify right side
    1,476,243x = 10,421,339,804,100
  5. Step 5: Solve for x
    x = 10,421,339,804,100/1,476,243
  6. Step 6: Final answer
    x = 7,059,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.