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Finding the Third Proportional to 1,696,742 and 3,636,367

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Solution

The third proportional to 1,696,742 and 3,636,367 is: 7,793,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,742 : 3,636,367 = 3,636,367 : x
  2. Step 2: Convert to fraction form
    1,696,742/3,636,367 = 3,636,367/x
  3. Step 3: Cross multiply
    1,696,742x = 3,636,367 × 3,636,367
  4. Step 4: Simplify right side
    1,696,742x = 13,223,164,958,689
  5. Step 5: Solve for x
    x = 13,223,164,958,689/1,696,742
  6. Step 6: Final answer
    x = 7,793,267.90

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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.