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Finding the Third Proportional to 1,297,823 and 2,014,737

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Solution

The third proportional to 1,297,823 and 2,014,737 is: 3,127,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,823 : 2,014,737 = 2,014,737 : x
  2. Step 2: Convert to fraction form
    1,297,823/2,014,737 = 2,014,737/x
  3. Step 3: Cross multiply
    1,297,823x = 2,014,737 × 2,014,737
  4. Step 4: Simplify right side
    1,297,823x = 4,059,165,179,169
  5. Step 5: Solve for x
    x = 4,059,165,179,169/1,297,823
  6. Step 6: Final answer
    x = 3,127,672.40

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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.