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Finding the Third Proportional to 923,311 and 1,418,318.50

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Solution

The third proportional to 923,311 and 1,418,318.50 is: 2,178,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,311 : 1,418,318.50 = 1,418,318.50 : x
  2. Step 2: Convert to fraction form
    923,311/1,418,318.50 = 1,418,318.50/x
  3. Step 3: Cross multiply
    923,311x = 1,418,318.50 × 1,418,318.50
  4. Step 4: Simplify right side
    923,311x = 2,011,627,367,442.25
  5. Step 5: Solve for x
    x = 2,011,627,367,442.25/923,311
  6. Step 6: Final answer
    x = 2,178,710.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.