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Finding the Third Proportional to 1,696,732 and 3,636,347

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Solution

The third proportional to 1,696,732 and 3,636,347 is: 7,793,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,732 : 3,636,347 = 3,636,347 : x
  2. Step 2: Convert to fraction form
    1,696,732/3,636,347 = 3,636,347/x
  3. Step 3: Cross multiply
    1,696,732x = 3,636,347 × 3,636,347
  4. Step 4: Simplify right side
    1,696,732x = 13,223,019,504,409
  5. Step 5: Solve for x
    x = 13,223,019,504,409/1,696,732
  6. Step 6: Final answer
    x = 7,793,228.10

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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.