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Finding the Third Proportional to 1,111,109 and 1,573,243

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Solution

The third proportional to 1,111,109 and 1,573,243 is: 2,227,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111,109 : 1,573,243 = 1,573,243 : x
  2. Step 2: Convert to fraction form
    1,111,109/1,573,243 = 1,573,243/x
  3. Step 3: Cross multiply
    1,111,109x = 1,573,243 × 1,573,243
  4. Step 4: Simplify right side
    1,111,109x = 2,475,093,537,049
  5. Step 5: Solve for x
    x = 2,475,093,537,049/1,111,109
  6. Step 6: Final answer
    x = 2,227,588.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.