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Finding the Third Proportional to 701,249 and 1,514,643

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Solution

The third proportional to 701,249 and 1,514,643 is: 3,271,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,249 : 1,514,643 = 1,514,643 : x
  2. Step 2: Convert to fraction form
    701,249/1,514,643 = 1,514,643/x
  3. Step 3: Cross multiply
    701,249x = 1,514,643 × 1,514,643
  4. Step 4: Simplify right side
    701,249x = 2,294,143,417,449
  5. Step 5: Solve for x
    x = 2,294,143,417,449/701,249
  6. Step 6: Final answer
    x = 3,271,510.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.