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Finding the Third Proportional to 1,102,506 and 1,660,172

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Solution

The third proportional to 1,102,506 and 1,660,172 is: 2,499,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,506 : 1,660,172 = 1,660,172 : x
  2. Step 2: Convert to fraction form
    1,102,506/1,660,172 = 1,660,172/x
  3. Step 3: Cross multiply
    1,102,506x = 1,660,172 × 1,660,172
  4. Step 4: Simplify right side
    1,102,506x = 2,756,171,069,584
  5. Step 5: Solve for x
    x = 2,756,171,069,584/1,102,506
  6. Step 6: Final answer
    x = 2,499,914.80

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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.