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Finding the Third Proportional to 687,652 and 1,032,777

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Solution

The third proportional to 687,652 and 1,032,777 is: 1,551,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,652 : 1,032,777 = 1,032,777 : x
  2. Step 2: Convert to fraction form
    687,652/1,032,777 = 1,032,777/x
  3. Step 3: Cross multiply
    687,652x = 1,032,777 × 1,032,777
  4. Step 4: Simplify right side
    687,652x = 1,066,628,331,729
  5. Step 5: Solve for x
    x = 1,066,628,331,729/687,652
  6. Step 6: Final answer
    x = 1,551,116.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.