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Finding the Third Proportional to 843,528.94 and 1,205,403.19

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Solution

The third proportional to 843,528.94 and 1,205,403.19 is: 1,722,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,528.94 : 1,205,403.19 = 1,205,403.19 : x
  2. Step 2: Convert to fraction form
    843,528.94/1,205,403.19 = 1,205,403.19/x
  3. Step 3: Cross multiply
    843,528.94x = 1,205,403.19 × 1,205,403.19
  4. Step 4: Simplify right side
    843,528.94x = 1,452,996,844,435.16
  5. Step 5: Solve for x
    x = 1,452,996,844,435.16/843,528.94
  6. Step 6: Final answer
    x = 1,722,521.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.