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Finding the Third Proportional to 1,358,134 and 2,878,191

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Solution

The third proportional to 1,358,134 and 2,878,191 is: 6,099,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,134 : 2,878,191 = 2,878,191 : x
  2. Step 2: Convert to fraction form
    1,358,134/2,878,191 = 2,878,191/x
  3. Step 3: Cross multiply
    1,358,134x = 2,878,191 × 2,878,191
  4. Step 4: Simplify right side
    1,358,134x = 8,283,983,432,481
  5. Step 5: Solve for x
    x = 8,283,983,432,481/1,358,134
  6. Step 6: Final answer
    x = 6,099,533.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.