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Finding the Third Proportional to 468,645 and 970,523

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Solution

The third proportional to 468,645 and 970,523 is: 2,009,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,645 : 970,523 = 970,523 : x
  2. Step 2: Convert to fraction form
    468,645/970,523 = 970,523/x
  3. Step 3: Cross multiply
    468,645x = 970,523 × 970,523
  4. Step 4: Simplify right side
    468,645x = 941,914,893,529
  5. Step 5: Solve for x
    x = 941,914,893,529/468,645
  6. Step 6: Final answer
    x = 2,009,868.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.