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Finding the Third Proportional to 1,414,574 and 2,894,506

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Solution

The third proportional to 1,414,574 and 2,894,506 is: 5,922,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,574 : 2,894,506 = 2,894,506 : x
  2. Step 2: Convert to fraction form
    1,414,574/2,894,506 = 2,894,506/x
  3. Step 3: Cross multiply
    1,414,574x = 2,894,506 × 2,894,506
  4. Step 4: Simplify right side
    1,414,574x = 8,378,164,984,036
  5. Step 5: Solve for x
    x = 8,378,164,984,036/1,414,574
  6. Step 6: Final answer
    x = 5,922,747.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.