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Finding the Third Proportional to 1,191,658.50 and 1,530,059.63

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Solution

The third proportional to 1,191,658.50 and 1,530,059.63 is: 1,964,558.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,658.50 : 1,530,059.63 = 1,530,059.63 : x
  2. Step 2: Convert to fraction form
    1,191,658.50/1,530,059.63 = 1,530,059.63/x
  3. Step 3: Cross multiply
    1,191,658.50x = 1,530,059.63 × 1,530,059.63
  4. Step 4: Simplify right side
    1,191,658.50x = 2,341,082,456,055.14
  5. Step 5: Solve for x
    x = 2,341,082,456,055.14/1,191,658.50
  6. Step 6: Final answer
    x = 1,964,558.18

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.