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Finding the Third Proportional to 700,153.50 and 1,535,847

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Solution

The third proportional to 700,153.50 and 1,535,847 is: 3,369,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,153.50 : 1,535,847 = 1,535,847 : x
  2. Step 2: Convert to fraction form
    700,153.50/1,535,847 = 1,535,847/x
  3. Step 3: Cross multiply
    700,153.50x = 1,535,847 × 1,535,847
  4. Step 4: Simplify right side
    700,153.50x = 2,358,826,007,409
  5. Step 5: Solve for x
    x = 2,358,826,007,409/700,153.50
  6. Step 6: Final answer
    x = 3,369,012.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.