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Finding the Third Proportional to 698,777 and 1,489,066

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Solution

The third proportional to 698,777 and 1,489,066 is: 3,173,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,777 : 1,489,066 = 1,489,066 : x
  2. Step 2: Convert to fraction form
    698,777/1,489,066 = 1,489,066/x
  3. Step 3: Cross multiply
    698,777x = 1,489,066 × 1,489,066
  4. Step 4: Simplify right side
    698,777x = 2,217,317,552,356
  5. Step 5: Solve for x
    x = 2,217,317,552,356/698,777
  6. Step 6: Final answer
    x = 3,173,140.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.