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Finding the Third Proportional to 1,733,653.13 and 2,300,982.19

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Solution

The third proportional to 1,733,653.13 and 2,300,982.19 is: 3,053,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,653.13 : 2,300,982.19 = 2,300,982.19 : x
  2. Step 2: Convert to fraction form
    1,733,653.13/2,300,982.19 = 2,300,982.19/x
  3. Step 3: Cross multiply
    1,733,653.13x = 2,300,982.19 × 2,300,982.19
  4. Step 4: Simplify right side
    1,733,653.13x = 5,294,519,027,192.29
  5. Step 5: Solve for x
    x = 5,294,519,027,192.29/1,733,653.13
  6. Step 6: Final answer
    x = 3,053,966.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.