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Finding the Third Proportional to 3,423,364 and 5,298,009

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Solution

The third proportional to 3,423,364 and 5,298,009 is: 8,199,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423,364 : 5,298,009 = 5,298,009 : x
  2. Step 2: Convert to fraction form
    3,423,364/5,298,009 = 5,298,009/x
  3. Step 3: Cross multiply
    3,423,364x = 5,298,009 × 5,298,009
  4. Step 4: Simplify right side
    3,423,364x = 28,068,899,364,081
  5. Step 5: Solve for x
    x = 28,068,899,364,081/3,423,364
  6. Step 6: Final answer
    x = 8,199,215.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.