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Finding the Third Proportional to 936,297 and 1,414,284

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Solution

The third proportional to 936,297 and 1,414,284 is: 2,136,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,297 : 1,414,284 = 1,414,284 : x
  2. Step 2: Convert to fraction form
    936,297/1,414,284 = 1,414,284/x
  3. Step 3: Cross multiply
    936,297x = 1,414,284 × 1,414,284
  4. Step 4: Simplify right side
    936,297x = 2,000,199,232,656
  5. Step 5: Solve for x
    x = 2,000,199,232,656/936,297
  6. Step 6: Final answer
    x = 2,136,287.13

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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.