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Finding the Third Proportional to 1,030,275 and 2,243,594.25

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Solution

The third proportional to 1,030,275 and 2,243,594.25 is: 4,885,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,275 : 2,243,594.25 = 2,243,594.25 : x
  2. Step 2: Convert to fraction form
    1,030,275/2,243,594.25 = 2,243,594.25/x
  3. Step 3: Cross multiply
    1,030,275x = 2,243,594.25 × 2,243,594.25
  4. Step 4: Simplify right side
    1,030,275x = 5,033,715,158,633.06
  5. Step 5: Solve for x
    x = 5,033,715,158,633.06/1,030,275
  6. Step 6: Final answer
    x = 4,885,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.