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Finding the Third Proportional to 2,106,534 and 3,178,440

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Solution

The third proportional to 2,106,534 and 3,178,440 is: 4,795,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,534 : 3,178,440 = 3,178,440 : x
  2. Step 2: Convert to fraction form
    2,106,534/3,178,440 = 3,178,440/x
  3. Step 3: Cross multiply
    2,106,534x = 3,178,440 × 3,178,440
  4. Step 4: Simplify right side
    2,106,534x = 10,102,480,833,600
  5. Step 5: Solve for x
    x = 10,102,480,833,600/2,106,534
  6. Step 6: Final answer
    x = 4,795,783.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.