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Finding the Third Proportional to 725,322.94 and 1,557,683.16

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Solution

The third proportional to 725,322.94 and 1,557,683.16 is: 3,345,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,322.94 : 1,557,683.16 = 1,557,683.16 : x
  2. Step 2: Convert to fraction form
    725,322.94/1,557,683.16 = 1,557,683.16/x
  3. Step 3: Cross multiply
    725,322.94x = 1,557,683.16 × 1,557,683.16
  4. Step 4: Simplify right side
    725,322.94x = 2,426,376,815,264.96
  5. Step 5: Solve for x
    x = 2,426,376,815,264.96/725,322.94
  6. Step 6: Final answer
    x = 3,345,236.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.