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Finding the Third Proportional to 917,767.13 and 1,968,391.13

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Solution

The third proportional to 917,767.13 and 1,968,391.13 is: 4,221,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,767.13 : 1,968,391.13 = 1,968,391.13 : x
  2. Step 2: Convert to fraction form
    917,767.13/1,968,391.13 = 1,968,391.13/x
  3. Step 3: Cross multiply
    917,767.13x = 1,968,391.13 × 1,968,391.13
  4. Step 4: Simplify right side
    917,767.13x = 3,874,563,620,978.77
  5. Step 5: Solve for x
    x = 3,874,563,620,978.77/917,767.13
  6. Step 6: Final answer
    x = 4,221,728.49

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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.