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Finding the Third Proportional to 963,106.50 and 1,441,515

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Solution

The third proportional to 963,106.50 and 1,441,515 is: 2,157,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,106.50 : 1,441,515 = 1,441,515 : x
  2. Step 2: Convert to fraction form
    963,106.50/1,441,515 = 1,441,515/x
  3. Step 3: Cross multiply
    963,106.50x = 1,441,515 × 1,441,515
  4. Step 4: Simplify right side
    963,106.50x = 2,077,965,495,225
  5. Step 5: Solve for x
    x = 2,077,965,495,225/963,106.50
  6. Step 6: Final answer
    x = 2,157,565.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.