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Finding the Third Proportional to 2,306,371 and 5,047,089

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Solution

The third proportional to 2,306,371 and 5,047,089 is: 11,044,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306,371 : 5,047,089 = 5,047,089 : x
  2. Step 2: Convert to fraction form
    2,306,371/5,047,089 = 5,047,089/x
  3. Step 3: Cross multiply
    2,306,371x = 5,047,089 × 5,047,089
  4. Step 4: Simplify right side
    2,306,371x = 25,473,107,373,921
  5. Step 5: Solve for x
    x = 25,473,107,373,921/2,306,371
  6. Step 6: Final answer
    x = 11,044,670.34

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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.