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Finding the Third Proportional to 718,287 and 1,071,201

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Solution

The third proportional to 718,287 and 1,071,201 is: 1,597,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,287 : 1,071,201 = 1,071,201 : x
  2. Step 2: Convert to fraction form
    718,287/1,071,201 = 1,071,201/x
  3. Step 3: Cross multiply
    718,287x = 1,071,201 × 1,071,201
  4. Step 4: Simplify right side
    718,287x = 1,147,471,582,401
  5. Step 5: Solve for x
    x = 1,147,471,582,401/718,287
  6. Step 6: Final answer
    x = 1,597,511.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.