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Finding the Third Proportional to 463,721 and 977,259

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Solution

The third proportional to 463,721 and 977,259 is: 2,059,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,721 : 977,259 = 977,259 : x
  2. Step 2: Convert to fraction form
    463,721/977,259 = 977,259/x
  3. Step 3: Cross multiply
    463,721x = 977,259 × 977,259
  4. Step 4: Simplify right side
    463,721x = 955,035,153,081
  5. Step 5: Solve for x
    x = 955,035,153,081/463,721
  6. Step 6: Final answer
    x = 2,059,503.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.