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Finding the Third Proportional to 1,133,140.85 and 1,757,154.09

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Solution

The third proportional to 1,133,140.85 and 1,757,154.09 is: 2,724,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,140.85 : 1,757,154.09 = 1,757,154.09 : x
  2. Step 2: Convert to fraction form
    1,133,140.85/1,757,154.09 = 1,757,154.09/x
  3. Step 3: Cross multiply
    1,133,140.85x = 1,757,154.09 × 1,757,154.09
  4. Step 4: Simplify right side
    1,133,140.85x = 3,087,590,509,182.38
  5. Step 5: Solve for x
    x = 3,087,590,509,182.38/1,133,140.85
  6. Step 6: Final answer
    x = 2,724,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.