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Finding the Third Proportional to 507,789 and 1,085,562

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Solution

The third proportional to 507,789 and 1,085,562 is: 2,320,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,789 : 1,085,562 = 1,085,562 : x
  2. Step 2: Convert to fraction form
    507,789/1,085,562 = 1,085,562/x
  3. Step 3: Cross multiply
    507,789x = 1,085,562 × 1,085,562
  4. Step 4: Simplify right side
    507,789x = 1,178,444,855,844
  5. Step 5: Solve for x
    x = 1,178,444,855,844/507,789
  6. Step 6: Final answer
    x = 2,320,737.27

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