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Finding the Third Proportional to 1,640,287.13 and 2,208,141

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Solution

The third proportional to 1,640,287.13 and 2,208,141 is: 2,972,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,287.13 : 2,208,141 = 2,208,141 : x
  2. Step 2: Convert to fraction form
    1,640,287.13/2,208,141 = 2,208,141/x
  3. Step 3: Cross multiply
    1,640,287.13x = 2,208,141 × 2,208,141
  4. Step 4: Simplify right side
    1,640,287.13x = 4,875,886,675,881
  5. Step 5: Solve for x
    x = 4,875,886,675,881/1,640,287.13
  6. Step 6: Final answer
    x = 2,972,581.20

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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.