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Finding the Third Proportional to 713,371 and 1,485,670

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Solution

The third proportional to 713,371 and 1,485,670 is: 3,094,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,371 : 1,485,670 = 1,485,670 : x
  2. Step 2: Convert to fraction form
    713,371/1,485,670 = 1,485,670/x
  3. Step 3: Cross multiply
    713,371x = 1,485,670 × 1,485,670
  4. Step 4: Simplify right side
    713,371x = 2,207,215,348,900
  5. Step 5: Solve for x
    x = 2,207,215,348,900/713,371
  6. Step 6: Final answer
    x = 3,094,063.75

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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.