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Finding the Third Proportional to 1,044,243 and 2,280,222

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Solution

The third proportional to 1,044,243 and 2,280,222 is: 4,979,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044,243 : 2,280,222 = 2,280,222 : x
  2. Step 2: Convert to fraction form
    1,044,243/2,280,222 = 2,280,222/x
  3. Step 3: Cross multiply
    1,044,243x = 2,280,222 × 2,280,222
  4. Step 4: Simplify right side
    1,044,243x = 5,199,412,369,284
  5. Step 5: Solve for x
    x = 5,199,412,369,284/1,044,243
  6. Step 6: Final answer
    x = 4,979,121.11

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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.