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Finding the Third Proportional to 501,518 and 977,920

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Solution

The third proportional to 501,518 and 977,920 is: 1,906,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,518 : 977,920 = 977,920 : x
  2. Step 2: Convert to fraction form
    501,518/977,920 = 977,920/x
  3. Step 3: Cross multiply
    501,518x = 977,920 × 977,920
  4. Step 4: Simplify right side
    501,518x = 956,327,526,400
  5. Step 5: Solve for x
    x = 956,327,526,400/501,518
  6. Step 6: Final answer
    x = 1,906,865.81

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.