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Finding the Third Proportional to 594,347 and 1,297,018

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Solution

The third proportional to 594,347 and 1,297,018 is: 2,830,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,347 : 1,297,018 = 1,297,018 : x
  2. Step 2: Convert to fraction form
    594,347/1,297,018 = 1,297,018/x
  3. Step 3: Cross multiply
    594,347x = 1,297,018 × 1,297,018
  4. Step 4: Simplify right side
    594,347x = 1,682,255,692,324
  5. Step 5: Solve for x
    x = 1,682,255,692,324/594,347
  6. Step 6: Final answer
    x = 2,830,426.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.