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Finding the Third Proportional to 710,034 and 1,550,170

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Solution

The third proportional to 710,034 and 1,550,170 is: 3,384,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,034 : 1,550,170 = 1,550,170 : x
  2. Step 2: Convert to fraction form
    710,034/1,550,170 = 1,550,170/x
  3. Step 3: Cross multiply
    710,034x = 1,550,170 × 1,550,170
  4. Step 4: Simplify right side
    710,034x = 2,403,027,028,900
  5. Step 5: Solve for x
    x = 2,403,027,028,900/710,034
  6. Step 6: Final answer
    x = 3,384,383.04

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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.