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Finding the Third Proportional to 597,283.45 and 1,289,655.84

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Solution

The third proportional to 597,283.45 and 1,289,655.84 is: 2,784,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,283.45 : 1,289,655.84 = 1,289,655.84 : x
  2. Step 2: Convert to fraction form
    597,283.45/1,289,655.84 = 1,289,655.84/x
  3. Step 3: Cross multiply
    597,283.45x = 1,289,655.84 × 1,289,655.84
  4. Step 4: Simplify right side
    597,283.45x = 1,663,212,195,318.52
  5. Step 5: Solve for x
    x = 1,663,212,195,318.52/597,283.45
  6. Step 6: Final answer
    x = 2,784,627.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.