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Finding the Third Proportional to 963,384.75 and 1,355,459.63

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Solution

The third proportional to 963,384.75 and 1,355,459.63 is: 1,907,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,384.75 : 1,355,459.63 = 1,355,459.63 : x
  2. Step 2: Convert to fraction form
    963,384.75/1,355,459.63 = 1,355,459.63/x
  3. Step 3: Cross multiply
    963,384.75x = 1,355,459.63 × 1,355,459.63
  4. Step 4: Simplify right side
    963,384.75x = 1,837,270,795,005.14
  5. Step 5: Solve for x
    x = 1,837,270,795,005.14/963,384.75
  6. Step 6: Final answer
    x = 1,907,099.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.