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Finding the Third Proportional to 936,294.19 and 1,414,281

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Solution

The third proportional to 936,294.19 and 1,414,281 is: 2,136,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,294.19 : 1,414,281 = 1,414,281 : x
  2. Step 2: Convert to fraction form
    936,294.19/1,414,281 = 1,414,281/x
  3. Step 3: Cross multiply
    936,294.19x = 1,414,281 × 1,414,281
  4. Step 4: Simplify right side
    936,294.19x = 2,000,190,746,961
  5. Step 5: Solve for x
    x = 2,000,190,746,961/936,294.19
  6. Step 6: Final answer
    x = 2,136,284.49

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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.