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Finding the Third Proportional to 1,649,142 and 3,547,593

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Solution

The third proportional to 1,649,142 and 3,547,593 is: 7,631,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,142 : 3,547,593 = 3,547,593 : x
  2. Step 2: Convert to fraction form
    1,649,142/3,547,593 = 3,547,593/x
  3. Step 3: Cross multiply
    1,649,142x = 3,547,593 × 3,547,593
  4. Step 4: Simplify right side
    1,649,142x = 12,585,416,093,649
  5. Step 5: Solve for x
    x = 12,585,416,093,649/1,649,142
  6. Step 6: Final answer
    x = 7,631,493.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.