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Finding the Third Proportional to 1,696,051.13 and 3,691,105.88

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Solution

The third proportional to 1,696,051.13 and 3,691,105.88 is: 8,032,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,051.13 : 3,691,105.88 = 3,691,105.88 : x
  2. Step 2: Convert to fraction form
    1,696,051.13/3,691,105.88 = 3,691,105.88/x
  3. Step 3: Cross multiply
    1,696,051.13x = 3,691,105.88 × 3,691,105.88
  4. Step 4: Simplify right side
    1,696,051.13x = 13,624,262,580,459.52
  5. Step 5: Solve for x
    x = 13,624,262,580,459.52/1,696,051.13
  6. Step 6: Final answer
    x = 8,032,931.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.