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Finding the Third Proportional to 595,491.75 and 1,298,045.25

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Solution

The third proportional to 595,491.75 and 1,298,045.25 is: 2,829,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,491.75 : 1,298,045.25 = 1,298,045.25 : x
  2. Step 2: Convert to fraction form
    595,491.75/1,298,045.25 = 1,298,045.25/x
  3. Step 3: Cross multiply
    595,491.75x = 1,298,045.25 × 1,298,045.25
  4. Step 4: Simplify right side
    595,491.75x = 1,684,921,471,047.56
  5. Step 5: Solve for x
    x = 1,684,921,471,047.56/595,491.75
  6. Step 6: Final answer
    x = 2,829,462.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.