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Finding the Third Proportional to 714,814 and 1,533,284

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Solution

The third proportional to 714,814 and 1,533,284 is: 3,288,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,814 : 1,533,284 = 1,533,284 : x
  2. Step 2: Convert to fraction form
    714,814/1,533,284 = 1,533,284/x
  3. Step 3: Cross multiply
    714,814x = 1,533,284 × 1,533,284
  4. Step 4: Simplify right side
    714,814x = 2,350,959,824,656
  5. Step 5: Solve for x
    x = 2,350,959,824,656/714,814
  6. Step 6: Final answer
    x = 3,288,911.28

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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.