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Finding the Third Proportional to 847,742 and 1,188,284

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Solution

The third proportional to 847,742 and 1,188,284 is: 1,665,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,742 : 1,188,284 = 1,188,284 : x
  2. Step 2: Convert to fraction form
    847,742/1,188,284 = 1,188,284/x
  3. Step 3: Cross multiply
    847,742x = 1,188,284 × 1,188,284
  4. Step 4: Simplify right side
    847,742x = 1,412,018,864,656
  5. Step 5: Solve for x
    x = 1,412,018,864,656/847,742
  6. Step 6: Final answer
    x = 1,665,623.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.