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Finding the Third Proportional to 1,698,668 and 3,680,728

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Solution

The third proportional to 1,698,668 and 3,680,728 is: 7,975,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,668 : 3,680,728 = 3,680,728 : x
  2. Step 2: Convert to fraction form
    1,698,668/3,680,728 = 3,680,728/x
  3. Step 3: Cross multiply
    1,698,668x = 3,680,728 × 3,680,728
  4. Step 4: Simplify right side
    1,698,668x = 13,547,758,609,984
  5. Step 5: Solve for x
    x = 13,547,758,609,984/1,698,668
  6. Step 6: Final answer
    x = 7,975,518.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.