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Finding the Third Proportional to 1,034,504.16 and 2,255,214.66

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Solution

The third proportional to 1,034,504.16 and 2,255,214.66 is: 4,916,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,504.16 : 2,255,214.66 = 2,255,214.66 : x
  2. Step 2: Convert to fraction form
    1,034,504.16/2,255,214.66 = 2,255,214.66/x
  3. Step 3: Cross multiply
    1,034,504.16x = 2,255,214.66 × 2,255,214.66
  4. Step 4: Simplify right side
    1,034,504.16x = 5,085,993,145,764.81
  5. Step 5: Solve for x
    x = 5,085,993,145,764.81/1,034,504.16
  6. Step 6: Final answer
    x = 4,916,358.35

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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.