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Finding the Third Proportional to 1,640,827.13 and 2,483,870.06

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Solution

The third proportional to 1,640,827.13 and 2,483,870.06 is: 3,760,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,827.13 : 2,483,870.06 = 2,483,870.06 : x
  2. Step 2: Convert to fraction form
    1,640,827.13/2,483,870.06 = 2,483,870.06/x
  3. Step 3: Cross multiply
    1,640,827.13x = 2,483,870.06 × 2,483,870.06
  4. Step 4: Simplify right side
    1,640,827.13x = 6,169,610,487,383.75
  5. Step 5: Solve for x
    x = 6,169,610,487,383.75/1,640,827.13
  6. Step 6: Final answer
    x = 3,760,061.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.