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Finding the Third Proportional to 1,689,076.50 and 2,535,838.50

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Solution

The third proportional to 1,689,076.50 and 2,535,838.50 is: 3,807,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,076.50 : 2,535,838.50 = 2,535,838.50 : x
  2. Step 2: Convert to fraction form
    1,689,076.50/2,535,838.50 = 2,535,838.50/x
  3. Step 3: Cross multiply
    1,689,076.50x = 2,535,838.50 × 2,535,838.50
  4. Step 4: Simplify right side
    1,689,076.50x = 6,430,476,898,082.25
  5. Step 5: Solve for x
    x = 6,430,476,898,082.25/1,689,076.50
  6. Step 6: Final answer
    x = 3,807,096.30

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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.