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Finding the Third Proportional to 461,356 and 998,506

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Solution

The third proportional to 461,356 and 998,506 is: 2,161,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,356 : 998,506 = 998,506 : x
  2. Step 2: Convert to fraction form
    461,356/998,506 = 998,506/x
  3. Step 3: Cross multiply
    461,356x = 998,506 × 998,506
  4. Step 4: Simplify right side
    461,356x = 997,014,232,036
  5. Step 5: Solve for x
    x = 997,014,232,036/461,356
  6. Step 6: Final answer
    x = 2,161,051.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.