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Finding the Third Proportional to 464,972 and 985,742

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Solution

The third proportional to 464,972 and 985,742 is: 2,089,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,972 : 985,742 = 985,742 : x
  2. Step 2: Convert to fraction form
    464,972/985,742 = 985,742/x
  3. Step 3: Cross multiply
    464,972x = 985,742 × 985,742
  4. Step 4: Simplify right side
    464,972x = 971,687,290,564
  5. Step 5: Solve for x
    x = 971,687,290,564/464,972
  6. Step 6: Final answer
    x = 2,089,775.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.