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Finding the Third Proportional to 997,714 and 1,521,480

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Solution

The third proportional to 997,714 and 1,521,480 is: 2,320,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,714 : 1,521,480 = 1,521,480 : x
  2. Step 2: Convert to fraction form
    997,714/1,521,480 = 1,521,480/x
  3. Step 3: Cross multiply
    997,714x = 1,521,480 × 1,521,480
  4. Step 4: Simplify right side
    997,714x = 2,314,901,390,400
  5. Step 5: Solve for x
    x = 2,314,901,390,400/997,714
  6. Step 6: Final answer
    x = 2,320,205.38

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.