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Finding the Third Proportional to 961,827 and 1,500,961.50

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Solution

The third proportional to 961,827 and 1,500,961.50 is: 2,342,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,827 : 1,500,961.50 = 1,500,961.50 : x
  2. Step 2: Convert to fraction form
    961,827/1,500,961.50 = 1,500,961.50/x
  3. Step 3: Cross multiply
    961,827x = 1,500,961.50 × 1,500,961.50
  4. Step 4: Simplify right side
    961,827x = 2,252,885,424,482.25
  5. Step 5: Solve for x
    x = 2,252,885,424,482.25/961,827
  6. Step 6: Final answer
    x = 2,342,297.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.