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Finding the Third Proportional to 464,973 and 985,752

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Solution

The third proportional to 464,973 and 985,752 is: 2,089,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,973 : 985,752 = 985,752 : x
  2. Step 2: Convert to fraction form
    464,973/985,752 = 985,752/x
  3. Step 3: Cross multiply
    464,973x = 985,752 × 985,752
  4. Step 4: Simplify right side
    464,973x = 971,707,005,504
  5. Step 5: Solve for x
    x = 971,707,005,504/464,973
  6. Step 6: Final answer
    x = 2,089,813.83

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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.