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Finding the Third Proportional to 936,301 and 1,414,290

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Solution

The third proportional to 936,301 and 1,414,290 is: 2,136,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,301 : 1,414,290 = 1,414,290 : x
  2. Step 2: Convert to fraction form
    936,301/1,414,290 = 1,414,290/x
  3. Step 3: Cross multiply
    936,301x = 1,414,290 × 1,414,290
  4. Step 4: Simplify right side
    936,301x = 2,000,216,204,100
  5. Step 5: Solve for x
    x = 2,000,216,204,100/936,301
  6. Step 6: Final answer
    x = 2,136,296.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.