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Finding the Third Proportional to 920,446.88 and 1,968,823.13

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Solution

The third proportional to 920,446.88 and 1,968,823.13 is: 4,211,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,446.88 : 1,968,823.13 = 1,968,823.13 : x
  2. Step 2: Convert to fraction form
    920,446.88/1,968,823.13 = 1,968,823.13/x
  3. Step 3: Cross multiply
    920,446.88x = 1,968,823.13 × 1,968,823.13
  4. Step 4: Simplify right side
    920,446.88x = 3,876,264,497,534.77
  5. Step 5: Solve for x
    x = 3,876,264,497,534.77/920,446.88
  6. Step 6: Final answer
    x = 4,211,285.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.