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Finding the Third Proportional to 920,732 and 1,395,314

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Solution

The third proportional to 920,732 and 1,395,314 is: 2,114,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,732 : 1,395,314 = 1,395,314 : x
  2. Step 2: Convert to fraction form
    920,732/1,395,314 = 1,395,314/x
  3. Step 3: Cross multiply
    920,732x = 1,395,314 × 1,395,314
  4. Step 4: Simplify right side
    920,732x = 1,946,901,158,596
  5. Step 5: Solve for x
    x = 1,946,901,158,596/920,732
  6. Step 6: Final answer
    x = 2,114,514.49

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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.