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Finding the Third Proportional to 905,066 and 1,341,943

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Solution

The third proportional to 905,066 and 1,341,943 is: 1,989,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,066 : 1,341,943 = 1,341,943 : x
  2. Step 2: Convert to fraction form
    905,066/1,341,943 = 1,341,943/x
  3. Step 3: Cross multiply
    905,066x = 1,341,943 × 1,341,943
  4. Step 4: Simplify right side
    905,066x = 1,800,811,015,249
  5. Step 5: Solve for x
    x = 1,800,811,015,249/905,066
  6. Step 6: Final answer
    x = 1,989,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.