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Finding the Third Proportional to 507,444 and 1,091,433

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Solution

The third proportional to 507,444 and 1,091,433 is: 2,347,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,444 : 1,091,433 = 1,091,433 : x
  2. Step 2: Convert to fraction form
    507,444/1,091,433 = 1,091,433/x
  3. Step 3: Cross multiply
    507,444x = 1,091,433 × 1,091,433
  4. Step 4: Simplify right side
    507,444x = 1,191,225,993,489
  5. Step 5: Solve for x
    x = 1,191,225,993,489/507,444
  6. Step 6: Final answer
    x = 2,347,502.37

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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.