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Finding the Third Proportional to 1,205,178 and 1,713,339

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Solution

The third proportional to 1,205,178 and 1,713,339 is: 2,435,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,178 : 1,713,339 = 1,713,339 : x
  2. Step 2: Convert to fraction form
    1,205,178/1,713,339 = 1,713,339/x
  3. Step 3: Cross multiply
    1,205,178x = 1,713,339 × 1,713,339
  4. Step 4: Simplify right side
    1,205,178x = 2,935,530,528,921
  5. Step 5: Solve for x
    x = 2,935,530,528,921/1,205,178
  6. Step 6: Final answer
    x = 2,435,765.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.