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Finding the Third Proportional to 2,289,572 and 4,977,092

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Solution

The third proportional to 2,289,572 and 4,977,092 is: 10,819,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,572 : 4,977,092 = 4,977,092 : x
  2. Step 2: Convert to fraction form
    2,289,572/4,977,092 = 4,977,092/x
  3. Step 3: Cross multiply
    2,289,572x = 4,977,092 × 4,977,092
  4. Step 4: Simplify right side
    2,289,572x = 24,771,444,776,464
  5. Step 5: Solve for x
    x = 24,771,444,776,464/2,289,572
  6. Step 6: Final answer
    x = 10,819,246.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.