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Finding the Third Proportional to 1,649,145 and 3,547,609

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Solution

The third proportional to 1,649,145 and 3,547,609 is: 7,631,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,145 : 3,547,609 = 3,547,609 : x
  2. Step 2: Convert to fraction form
    1,649,145/3,547,609 = 3,547,609/x
  3. Step 3: Cross multiply
    1,649,145x = 3,547,609 × 3,547,609
  4. Step 4: Simplify right side
    1,649,145x = 12,585,529,616,881
  5. Step 5: Solve for x
    x = 12,585,529,616,881/1,649,145
  6. Step 6: Final answer
    x = 7,631,548.24

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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.