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Finding the Third Proportional to 842,213 and 1,295,849

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Solution

The third proportional to 842,213 and 1,295,849 is: 1,993,824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,213 : 1,295,849 = 1,295,849 : x
  2. Step 2: Convert to fraction form
    842,213/1,295,849 = 1,295,849/x
  3. Step 3: Cross multiply
    842,213x = 1,295,849 × 1,295,849
  4. Step 4: Simplify right side
    842,213x = 1,679,224,630,801
  5. Step 5: Solve for x
    x = 1,679,224,630,801/842,213
  6. Step 6: Final answer
    x = 1,993,824.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.