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Finding the Third Proportional to 2,101,784 and 3,261,106

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Solution

The third proportional to 2,101,784 and 3,261,106 is: 5,059,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,784 : 3,261,106 = 3,261,106 : x
  2. Step 2: Convert to fraction form
    2,101,784/3,261,106 = 3,261,106/x
  3. Step 3: Cross multiply
    2,101,784x = 3,261,106 × 3,261,106
  4. Step 4: Simplify right side
    2,101,784x = 10,634,812,343,236
  5. Step 5: Solve for x
    x = 10,634,812,343,236/2,101,784
  6. Step 6: Final answer
    x = 5,059,897.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.