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Finding the Third Proportional to 917,410 and 1,417,019

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Solution

The third proportional to 917,410 and 1,417,019 is: 2,188,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,410 : 1,417,019 = 1,417,019 : x
  2. Step 2: Convert to fraction form
    917,410/1,417,019 = 1,417,019/x
  3. Step 3: Cross multiply
    917,410x = 1,417,019 × 1,417,019
  4. Step 4: Simplify right side
    917,410x = 2,007,942,846,361
  5. Step 5: Solve for x
    x = 2,007,942,846,361/917,410
  6. Step 6: Final answer
    x = 2,188,708.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.