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Finding the Third Proportional to 593,317 and 1,298,293

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Solution

The third proportional to 593,317 and 1,298,293 is: 2,840,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,317 : 1,298,293 = 1,298,293 : x
  2. Step 2: Convert to fraction form
    593,317/1,298,293 = 1,298,293/x
  3. Step 3: Cross multiply
    593,317x = 1,298,293 × 1,298,293
  4. Step 4: Simplify right side
    593,317x = 1,685,564,713,849
  5. Step 5: Solve for x
    x = 1,685,564,713,849/593,317
  6. Step 6: Final answer
    x = 2,840,917.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.