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Finding the Third Proportional to 779,967 and 1,198,335

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Solution

The third proportional to 779,967 and 1,198,335 is: 1,841,112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,967 : 1,198,335 = 1,198,335 : x
  2. Step 2: Convert to fraction form
    779,967/1,198,335 = 1,198,335/x
  3. Step 3: Cross multiply
    779,967x = 1,198,335 × 1,198,335
  4. Step 4: Simplify right side
    779,967x = 1,436,006,772,225
  5. Step 5: Solve for x
    x = 1,436,006,772,225/779,967
  6. Step 6: Final answer
    x = 1,841,112.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.