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Finding the Third Proportional to 1,585,330 and 3,473,649

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Solution

The third proportional to 1,585,330 and 3,473,649 is: 7,611,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,330 : 3,473,649 = 3,473,649 : x
  2. Step 2: Convert to fraction form
    1,585,330/3,473,649 = 3,473,649/x
  3. Step 3: Cross multiply
    1,585,330x = 3,473,649 × 3,473,649
  4. Step 4: Simplify right side
    1,585,330x = 12,066,237,375,201
  5. Step 5: Solve for x
    x = 12,066,237,375,201/1,585,330
  6. Step 6: Final answer
    x = 7,611,183.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.