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Finding the Third Proportional to 631,214 and 1,358,656

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Solution

The third proportional to 631,214 and 1,358,656 is: 2,924,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,214 : 1,358,656 = 1,358,656 : x
  2. Step 2: Convert to fraction form
    631,214/1,358,656 = 1,358,656/x
  3. Step 3: Cross multiply
    631,214x = 1,358,656 × 1,358,656
  4. Step 4: Simplify right side
    631,214x = 1,845,946,126,336
  5. Step 5: Solve for x
    x = 1,845,946,126,336/631,214
  6. Step 6: Final answer
    x = 2,924,437.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.