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Finding the Third Proportional to 2,106,098 and 4,548,420

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Solution

The third proportional to 2,106,098 and 4,548,420 is: 9,822,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,098 : 4,548,420 = 4,548,420 : x
  2. Step 2: Convert to fraction form
    2,106,098/4,548,420 = 4,548,420/x
  3. Step 3: Cross multiply
    2,106,098x = 4,548,420 × 4,548,420
  4. Step 4: Simplify right side
    2,106,098x = 20,688,124,496,400
  5. Step 5: Solve for x
    x = 20,688,124,496,400/2,106,098
  6. Step 6: Final answer
    x = 9,822,963.84

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