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Finding the Third Proportional to 464,802 and 997,402

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Solution

The third proportional to 464,802 and 997,402 is: 2,140,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,802 : 997,402 = 997,402 : x
  2. Step 2: Convert to fraction form
    464,802/997,402 = 997,402/x
  3. Step 3: Cross multiply
    464,802x = 997,402 × 997,402
  4. Step 4: Simplify right side
    464,802x = 994,810,749,604
  5. Step 5: Solve for x
    x = 994,810,749,604/464,802
  6. Step 6: Final answer
    x = 2,140,289.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.