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Finding the Third Proportional to 1,384,115 and 2,975,158

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Solution

The third proportional to 1,384,115 and 2,975,158 is: 6,395,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,115 : 2,975,158 = 2,975,158 : x
  2. Step 2: Convert to fraction form
    1,384,115/2,975,158 = 2,975,158/x
  3. Step 3: Cross multiply
    1,384,115x = 2,975,158 × 2,975,158
  4. Step 4: Simplify right side
    1,384,115x = 8,851,565,124,964
  5. Step 5: Solve for x
    x = 8,851,565,124,964/1,384,115
  6. Step 6: Final answer
    x = 6,395,108.16

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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.