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Finding the Third Proportional to 1,057,248.75 and 1,588,215

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Solution

The third proportional to 1,057,248.75 and 1,588,215 is: 2,385,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,248.75 : 1,588,215 = 1,588,215 : x
  2. Step 2: Convert to fraction form
    1,057,248.75/1,588,215 = 1,588,215/x
  3. Step 3: Cross multiply
    1,057,248.75x = 1,588,215 × 1,588,215
  4. Step 4: Simplify right side
    1,057,248.75x = 2,522,426,886,225
  5. Step 5: Solve for x
    x = 2,522,426,886,225/1,057,248.75
  6. Step 6: Final answer
    x = 2,385,840.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.