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Finding the Third Proportional to 2,307,069 and 4,969,132

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Solution

The third proportional to 2,307,069 and 4,969,132 is: 10,702,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,069 : 4,969,132 = 4,969,132 : x
  2. Step 2: Convert to fraction form
    2,307,069/4,969,132 = 4,969,132/x
  3. Step 3: Cross multiply
    2,307,069x = 4,969,132 × 4,969,132
  4. Step 4: Simplify right side
    2,307,069x = 24,692,272,833,424
  5. Step 5: Solve for x
    x = 24,692,272,833,424/2,307,069
  6. Step 6: Final answer
    x = 10,702,875.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.