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Finding the Third Proportional to 748,831.50 and 1,640,106.56

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Solution

The third proportional to 748,831.50 and 1,640,106.56 is: 3,592,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,831.50 : 1,640,106.56 = 1,640,106.56 : x
  2. Step 2: Convert to fraction form
    748,831.50/1,640,106.56 = 1,640,106.56/x
  3. Step 3: Cross multiply
    748,831.50x = 1,640,106.56 × 1,640,106.56
  4. Step 4: Simplify right side
    748,831.50x = 2,689,949,536,355.57
  5. Step 5: Solve for x
    x = 2,689,949,536,355.57/748,831.50
  6. Step 6: Final answer
    x = 3,592,196.02

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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.