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Finding the Third Proportional to 765,226.13 and 1,143,840.38

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Solution

The third proportional to 765,226.13 and 1,143,840.38 is: 1,709,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,226.13 : 1,143,840.38 = 1,143,840.38 : x
  2. Step 2: Convert to fraction form
    765,226.13/1,143,840.38 = 1,143,840.38/x
  3. Step 3: Cross multiply
    765,226.13x = 1,143,840.38 × 1,143,840.38
  4. Step 4: Simplify right side
    765,226.13x = 1,308,370,803,480.14
  5. Step 5: Solve for x
    x = 1,308,370,803,480.14/765,226.13
  6. Step 6: Final answer
    x = 1,709,783.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.