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Finding the Third Proportional to 507,052 and 1,086,086

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Solution

The third proportional to 507,052 and 1,086,086 is: 2,326,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,052 : 1,086,086 = 1,086,086 : x
  2. Step 2: Convert to fraction form
    507,052/1,086,086 = 1,086,086/x
  3. Step 3: Cross multiply
    507,052x = 1,086,086 × 1,086,086
  4. Step 4: Simplify right side
    507,052x = 1,179,582,799,396
  5. Step 5: Solve for x
    x = 1,179,582,799,396/507,052
  6. Step 6: Final answer
    x = 2,326,354.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.