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Finding the Third Proportional to 1,223,082 and 1,798,672.50

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Solution

The third proportional to 1,223,082 and 1,798,672.50 is: 2,645,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,082 : 1,798,672.50 = 1,798,672.50 : x
  2. Step 2: Convert to fraction form
    1,223,082/1,798,672.50 = 1,798,672.50/x
  3. Step 3: Cross multiply
    1,223,082x = 1,798,672.50 × 1,798,672.50
  4. Step 4: Simplify right side
    1,223,082x = 3,235,222,762,256.25
  5. Step 5: Solve for x
    x = 3,235,222,762,256.25/1,223,082
  6. Step 6: Final answer
    x = 2,645,139.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.