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Finding the Third Proportional to 492,897.02 and 1,023,246.42

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Solution

The third proportional to 492,897.02 and 1,023,246.42 is: 2,124,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,897.02 : 1,023,246.42 = 1,023,246.42 : x
  2. Step 2: Convert to fraction form
    492,897.02/1,023,246.42 = 1,023,246.42/x
  3. Step 3: Cross multiply
    492,897.02x = 1,023,246.42 × 1,023,246.42
  4. Step 4: Simplify right side
    492,897.02x = 1,047,033,239,879.99
  5. Step 5: Solve for x
    x = 1,047,033,239,879.99/492,897.02
  6. Step 6: Final answer
    x = 2,124,243.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.