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Finding the Third Proportional to 1,041,610 and 2,282,642

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Solution

The third proportional to 1,041,610 and 2,282,642 is: 5,002,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,610 : 2,282,642 = 2,282,642 : x
  2. Step 2: Convert to fraction form
    1,041,610/2,282,642 = 2,282,642/x
  3. Step 3: Cross multiply
    1,041,610x = 2,282,642 × 2,282,642
  4. Step 4: Simplify right side
    1,041,610x = 5,210,454,500,164
  5. Step 5: Solve for x
    x = 5,210,454,500,164/1,041,610
  6. Step 6: Final answer
    x = 5,002,308.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.