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Finding the Third Proportional to 2,030,470 and 4,334,942

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Solution

The third proportional to 2,030,470 and 4,334,942 is: 9,254,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,470 : 4,334,942 = 4,334,942 : x
  2. Step 2: Convert to fraction form
    2,030,470/4,334,942 = 4,334,942/x
  3. Step 3: Cross multiply
    2,030,470x = 4,334,942 × 4,334,942
  4. Step 4: Simplify right side
    2,030,470x = 18,791,722,143,364
  5. Step 5: Solve for x
    x = 18,791,722,143,364/2,030,470
  6. Step 6: Final answer
    x = 9,254,863.23

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