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Finding the Third Proportional to 644,590 and 1,366,018

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Solution

The third proportional to 644,590 and 1,366,018 is: 2,894,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,590 : 1,366,018 = 1,366,018 : x
  2. Step 2: Convert to fraction form
    644,590/1,366,018 = 1,366,018/x
  3. Step 3: Cross multiply
    644,590x = 1,366,018 × 1,366,018
  4. Step 4: Simplify right side
    644,590x = 1,866,005,176,324
  5. Step 5: Solve for x
    x = 1,866,005,176,324/644,590
  6. Step 6: Final answer
    x = 2,894,871.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.