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Finding the Third Proportional to 962,985 and 2,277,355.50

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Solution

The third proportional to 962,985 and 2,277,355.50 is: 5,385,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,985 : 2,277,355.50 = 2,277,355.50 : x
  2. Step 2: Convert to fraction form
    962,985/2,277,355.50 = 2,277,355.50/x
  3. Step 3: Cross multiply
    962,985x = 2,277,355.50 × 2,277,355.50
  4. Step 4: Simplify right side
    962,985x = 5,186,348,073,380.25
  5. Step 5: Solve for x
    x = 5,186,348,073,380.25/962,985
  6. Step 6: Final answer
    x = 5,385,699.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.