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Finding the Third Proportional to 2,106,403 and 4,537,269

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Solution

The third proportional to 2,106,403 and 4,537,269 is: 9,773,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,403 : 4,537,269 = 4,537,269 : x
  2. Step 2: Convert to fraction form
    2,106,403/4,537,269 = 4,537,269/x
  3. Step 3: Cross multiply
    2,106,403x = 4,537,269 × 4,537,269
  4. Step 4: Simplify right side
    2,106,403x = 20,586,809,978,361
  5. Step 5: Solve for x
    x = 20,586,809,978,361/2,106,403
  6. Step 6: Final answer
    x = 9,773,443.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.