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Finding the Third Proportional to 691,166.50 and 1,437,495.50

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Solution

The third proportional to 691,166.50 and 1,437,495.50 is: 2,989,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,166.50 : 1,437,495.50 = 1,437,495.50 : x
  2. Step 2: Convert to fraction form
    691,166.50/1,437,495.50 = 1,437,495.50/x
  3. Step 3: Cross multiply
    691,166.50x = 1,437,495.50 × 1,437,495.50
  4. Step 4: Simplify right side
    691,166.50x = 2,066,393,312,520.25
  5. Step 5: Solve for x
    x = 2,066,393,312,520.25/691,166.50
  6. Step 6: Final answer
    x = 2,989,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.