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Finding the Third Proportional to 842,580 and 1,803,744

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Solution

The third proportional to 842,580 and 1,803,744 is: 3,861,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,580 : 1,803,744 = 1,803,744 : x
  2. Step 2: Convert to fraction form
    842,580/1,803,744 = 1,803,744/x
  3. Step 3: Cross multiply
    842,580x = 1,803,744 × 1,803,744
  4. Step 4: Simplify right side
    842,580x = 3,253,492,417,536
  5. Step 5: Solve for x
    x = 3,253,492,417,536/842,580
  6. Step 6: Final answer
    x = 3,861,345.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.