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Finding the Third Proportional to 1,426,443.75 and 2,088,456.75

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Solution

The third proportional to 1,426,443.75 and 2,088,456.75 is: 3,057,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,443.75 : 2,088,456.75 = 2,088,456.75 : x
  2. Step 2: Convert to fraction form
    1,426,443.75/2,088,456.75 = 2,088,456.75/x
  3. Step 3: Cross multiply
    1,426,443.75x = 2,088,456.75 × 2,088,456.75
  4. Step 4: Simplify right side
    1,426,443.75x = 4,361,651,596,620.56
  5. Step 5: Solve for x
    x = 4,361,651,596,620.56/1,426,443.75
  6. Step 6: Final answer
    x = 3,057,710.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.