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Finding the Third Proportional to 872,283.94 and 1,274,590.69

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Solution

The third proportional to 872,283.94 and 1,274,590.69 is: 1,862,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,283.94 : 1,274,590.69 = 1,274,590.69 : x
  2. Step 2: Convert to fraction form
    872,283.94/1,274,590.69 = 1,274,590.69/x
  3. Step 3: Cross multiply
    872,283.94x = 1,274,590.69 × 1,274,590.69
  4. Step 4: Simplify right side
    872,283.94x = 1,624,581,420,661.72
  5. Step 5: Solve for x
    x = 1,624,581,420,661.72/872,283.94
  6. Step 6: Final answer
    x = 1,862,445.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.