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Finding the Third Proportional to 1,297,838 and 2,014,778

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Solution

The third proportional to 1,297,838 and 2,014,778 is: 3,127,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,838 : 2,014,778 = 2,014,778 : x
  2. Step 2: Convert to fraction form
    1,297,838/2,014,778 = 2,014,778/x
  3. Step 3: Cross multiply
    1,297,838x = 2,014,778 × 2,014,778
  4. Step 4: Simplify right side
    1,297,838x = 4,059,330,389,284
  5. Step 5: Solve for x
    x = 4,059,330,389,284/1,297,838
  6. Step 6: Final answer
    x = 3,127,763.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.