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Finding the Third Proportional to 641,356 and 1,385,492

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Solution

The third proportional to 641,356 and 1,385,492 is: 2,993,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,356 : 1,385,492 = 1,385,492 : x
  2. Step 2: Convert to fraction form
    641,356/1,385,492 = 1,385,492/x
  3. Step 3: Cross multiply
    641,356x = 1,385,492 × 1,385,492
  4. Step 4: Simplify right side
    641,356x = 1,919,588,082,064
  5. Step 5: Solve for x
    x = 1,919,588,082,064/641,356
  6. Step 6: Final answer
    x = 2,993,014.93

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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.