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Finding the Third Proportional to 713,303 and 1,451,517

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Solution

The third proportional to 713,303 and 1,451,517 is: 2,953,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,303 : 1,451,517 = 1,451,517 : x
  2. Step 2: Convert to fraction form
    713,303/1,451,517 = 1,451,517/x
  3. Step 3: Cross multiply
    713,303x = 1,451,517 × 1,451,517
  4. Step 4: Simplify right side
    713,303x = 2,106,901,601,289
  5. Step 5: Solve for x
    x = 2,106,901,601,289/713,303
  6. Step 6: Final answer
    x = 2,953,725.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.