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Finding the Third Proportional to 4,205,332 and 6,588,253

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Solution

The third proportional to 4,205,332 and 6,588,253 is: 10,321,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205,332 : 6,588,253 = 6,588,253 : x
  2. Step 2: Convert to fraction form
    4,205,332/6,588,253 = 6,588,253/x
  3. Step 3: Cross multiply
    4,205,332x = 6,588,253 × 6,588,253
  4. Step 4: Simplify right side
    4,205,332x = 43,405,077,592,009
  5. Step 5: Solve for x
    x = 43,405,077,592,009/4,205,332
  6. Step 6: Final answer
    x = 10,321,438.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.