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Finding the Third Proportional to 1,649,149 and 3,547,617

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Solution

The third proportional to 1,649,149 and 3,547,617 is: 7,631,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,149 : 3,547,617 = 3,547,617 : x
  2. Step 2: Convert to fraction form
    1,649,149/3,547,617 = 3,547,617/x
  3. Step 3: Cross multiply
    1,649,149x = 3,547,617 × 3,547,617
  4. Step 4: Simplify right side
    1,649,149x = 12,585,586,378,689
  5. Step 5: Solve for x
    x = 12,585,586,378,689/1,649,149
  6. Step 6: Final answer
    x = 7,631,564.15

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Why These Related Problems?

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