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Finding the Third Proportional to 719,451 and 1,554,171

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Solution

The third proportional to 719,451 and 1,554,171 is: 3,357,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,451 : 1,554,171 = 1,554,171 : x
  2. Step 2: Convert to fraction form
    719,451/1,554,171 = 1,554,171/x
  3. Step 3: Cross multiply
    719,451x = 1,554,171 × 1,554,171
  4. Step 4: Simplify right side
    719,451x = 2,415,447,497,241
  5. Step 5: Solve for x
    x = 2,415,447,497,241/719,451
  6. Step 6: Final answer
    x = 3,357,348.17

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Why These Related Problems?

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