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Finding the Third Proportional to 2,191,377 and 4,803,071

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Solution

The third proportional to 2,191,377 and 4,803,071 is: 10,527,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,377 : 4,803,071 = 4,803,071 : x
  2. Step 2: Convert to fraction form
    2,191,377/4,803,071 = 4,803,071/x
  3. Step 3: Cross multiply
    2,191,377x = 4,803,071 × 4,803,071
  4. Step 4: Simplify right side
    2,191,377x = 23,069,491,031,041
  5. Step 5: Solve for x
    x = 23,069,491,031,041/2,191,377
  6. Step 6: Final answer
    x = 10,527,394.89

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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.