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Finding the Third Proportional to 507,447 and 1,091,439

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Solution

The third proportional to 507,447 and 1,091,439 is: 2,347,514.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,447 : 1,091,439 = 1,091,439 : x
  2. Step 2: Convert to fraction form
    507,447/1,091,439 = 1,091,439/x
  3. Step 3: Cross multiply
    507,447x = 1,091,439 × 1,091,439
  4. Step 4: Simplify right side
    507,447x = 1,191,239,090,721
  5. Step 5: Solve for x
    x = 1,191,239,090,721/507,447
  6. Step 6: Final answer
    x = 2,347,514.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.