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Finding the Third Proportional to 1,158,082.50 and 1,670,688

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Solution

The third proportional to 1,158,082.50 and 1,670,688 is: 2,410,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158,082.50 : 1,670,688 = 1,670,688 : x
  2. Step 2: Convert to fraction form
    1,158,082.50/1,670,688 = 1,670,688/x
  3. Step 3: Cross multiply
    1,158,082.50x = 1,670,688 × 1,670,688
  4. Step 4: Simplify right side
    1,158,082.50x = 2,791,198,393,344
  5. Step 5: Solve for x
    x = 2,791,198,393,344/1,158,082.50
  6. Step 6: Final answer
    x = 2,410,189.60

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.