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Finding the Third Proportional to 1,757,448.75 and 2,813,062.13

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Solution

The third proportional to 1,757,448.75 and 2,813,062.13 is: 4,502,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,448.75 : 2,813,062.13 = 2,813,062.13 : x
  2. Step 2: Convert to fraction form
    1,757,448.75/2,813,062.13 = 2,813,062.13/x
  3. Step 3: Cross multiply
    1,757,448.75x = 2,813,062.13 × 2,813,062.13
  4. Step 4: Simplify right side
    1,757,448.75x = 7,913,318,519,109.52
  5. Step 5: Solve for x
    x = 7,913,318,519,109.52/1,757,448.75
  6. Step 6: Final answer
    x = 4,502,730.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.