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Finding the Third Proportional to 432,192 and 899,040

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Solution

The third proportional to 432,192 and 899,040 is: 1,870,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,192 : 899,040 = 899,040 : x
  2. Step 2: Convert to fraction form
    432,192/899,040 = 899,040/x
  3. Step 3: Cross multiply
    432,192x = 899,040 × 899,040
  4. Step 4: Simplify right side
    432,192x = 808,272,921,600
  5. Step 5: Solve for x
    x = 808,272,921,600/432,192
  6. Step 6: Final answer
    x = 1,870,170.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.