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Finding the Third Proportional to 1,570,974 and 3,389,942

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Solution

The third proportional to 1,570,974 and 3,389,942 is: 7,315,020.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570,974 : 3,389,942 = 3,389,942 : x
  2. Step 2: Convert to fraction form
    1,570,974/3,389,942 = 3,389,942/x
  3. Step 3: Cross multiply
    1,570,974x = 3,389,942 × 3,389,942
  4. Step 4: Simplify right side
    1,570,974x = 11,491,706,763,364
  5. Step 5: Solve for x
    x = 11,491,706,763,364/1,570,974
  6. Step 6: Final answer
    x = 7,315,020.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.