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Finding the Third Proportional to 1,640,280.38 and 2,208,133.41

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Solution

The third proportional to 1,640,280.38 and 2,208,133.41 is: 2,972,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,280.38 : 2,208,133.41 = 2,208,133.41 : x
  2. Step 2: Convert to fraction form
    1,640,280.38/2,208,133.41 = 2,208,133.41/x
  3. Step 3: Cross multiply
    1,640,280.38x = 2,208,133.41 × 2,208,133.41
  4. Step 4: Simplify right side
    1,640,280.38x = 4,875,853,139,797.23
  5. Step 5: Solve for x
    x = 4,875,853,139,797.23/1,640,280.38
  6. Step 6: Final answer
    x = 2,972,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.