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Finding the Third Proportional to 597,285.98 and 1,289,660.91

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Solution

The third proportional to 597,285.98 and 1,289,660.91 is: 2,784,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,285.98 : 1,289,660.91 = 1,289,660.91 : x
  2. Step 2: Convert to fraction form
    597,285.98/1,289,660.91 = 1,289,660.91/x
  3. Step 3: Cross multiply
    597,285.98x = 1,289,660.91 × 1,289,660.91
  4. Step 4: Simplify right side
    597,285.98x = 1,663,225,253,109.57
  5. Step 5: Solve for x
    x = 1,663,225,253,109.57/597,285.98
  6. Step 6: Final answer
    x = 2,784,638.01

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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.