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Finding the Third Proportional to 6,841,406 and 9,214,906

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Solution

The third proportional to 6,841,406 and 9,214,906 is: 12,411,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,406 : 9,214,906 = 9,214,906 : x
  2. Step 2: Convert to fraction form
    6,841,406/9,214,906 = 9,214,906/x
  3. Step 3: Cross multiply
    6,841,406x = 9,214,906 × 9,214,906
  4. Step 4: Simplify right side
    6,841,406x = 84,914,492,588,836
  5. Step 5: Solve for x
    x = 84,914,492,588,836/6,841,406
  6. Step 6: Final answer
    x = 12,411,848.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.