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Finding the Third Proportional to 507,766.50 and 1,102,941

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Solution

The third proportional to 507,766.50 and 1,102,941 is: 2,395,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,766.50 : 1,102,941 = 1,102,941 : x
  2. Step 2: Convert to fraction form
    507,766.50/1,102,941 = 1,102,941/x
  3. Step 3: Cross multiply
    507,766.50x = 1,102,941 × 1,102,941
  4. Step 4: Simplify right side
    507,766.50x = 1,216,478,849,481
  5. Step 5: Solve for x
    x = 1,216,478,849,481/507,766.50
  6. Step 6: Final answer
    x = 2,395,744.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.