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Finding the Third Proportional to 432,194 and 899,044

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Solution

The third proportional to 432,194 and 899,044 is: 1,870,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,194 : 899,044 = 899,044 : x
  2. Step 2: Convert to fraction form
    432,194/899,044 = 899,044/x
  3. Step 3: Cross multiply
    432,194x = 899,044 × 899,044
  4. Step 4: Simplify right side
    432,194x = 808,280,113,936
  5. Step 5: Solve for x
    x = 808,280,113,936/432,194
  6. Step 6: Final answer
    x = 1,870,178.93

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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.