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Finding the Third Proportional to 714,863 and 1,114,497

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Solution

The third proportional to 714,863 and 1,114,497 is: 1,737,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,863 : 1,114,497 = 1,114,497 : x
  2. Step 2: Convert to fraction form
    714,863/1,114,497 = 1,114,497/x
  3. Step 3: Cross multiply
    714,863x = 1,114,497 × 1,114,497
  4. Step 4: Simplify right side
    714,863x = 1,242,103,563,009
  5. Step 5: Solve for x
    x = 1,242,103,563,009/714,863
  6. Step 6: Final answer
    x = 1,737,540.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.