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Finding the Third Proportional to 3,214,657 and 6,876,729

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Solution

The third proportional to 3,214,657 and 6,876,729 is: 14,710,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,657 : 6,876,729 = 6,876,729 : x
  2. Step 2: Convert to fraction form
    3,214,657/6,876,729 = 6,876,729/x
  3. Step 3: Cross multiply
    3,214,657x = 6,876,729 × 6,876,729
  4. Step 4: Simplify right side
    3,214,657x = 47,289,401,739,441
  5. Step 5: Solve for x
    x = 47,289,401,739,441/3,214,657
  6. Step 6: Final answer
    x = 14,710,559.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.