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Finding the Third Proportional to 796,462.88 and 1,194,466.50

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Solution

The third proportional to 796,462.88 and 1,194,466.50 is: 1,791,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,462.88 : 1,194,466.50 = 1,194,466.50 : x
  2. Step 2: Convert to fraction form
    796,462.88/1,194,466.50 = 1,194,466.50/x
  3. Step 3: Cross multiply
    796,462.88x = 1,194,466.50 × 1,194,466.50
  4. Step 4: Simplify right side
    796,462.88x = 1,426,750,219,622.25
  5. Step 5: Solve for x
    x = 1,426,750,219,622.25/796,462.88
  6. Step 6: Final answer
    x = 1,791,358.10

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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.