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Finding the Third Proportional to 1,696,733 and 3,636,349

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Solution

The third proportional to 1,696,733 and 3,636,349 is: 7,793,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,733 : 3,636,349 = 3,636,349 : x
  2. Step 2: Convert to fraction form
    1,696,733/3,636,349 = 3,636,349/x
  3. Step 3: Cross multiply
    1,696,733x = 3,636,349 × 3,636,349
  4. Step 4: Simplify right side
    1,696,733x = 13,223,034,049,801
  5. Step 5: Solve for x
    x = 13,223,034,049,801/1,696,733
  6. Step 6: Final answer
    x = 7,793,232.08

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