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Finding the Third Proportional to 714,082 and 1,487,348

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Solution

The third proportional to 714,082 and 1,487,348 is: 3,097,969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,082 : 1,487,348 = 1,487,348 : x
  2. Step 2: Convert to fraction form
    714,082/1,487,348 = 1,487,348/x
  3. Step 3: Cross multiply
    714,082x = 1,487,348 × 1,487,348
  4. Step 4: Simplify right side
    714,082x = 2,212,204,073,104
  5. Step 5: Solve for x
    x = 2,212,204,073,104/714,082
  6. Step 6: Final answer
    x = 3,097,969.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.