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Finding the Third Proportional to 610,122 and 927,622

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Solution

The third proportional to 610,122 and 927,622 is: 1,410,345.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,122 : 927,622 = 927,622 : x
  2. Step 2: Convert to fraction form
    610,122/927,622 = 927,622/x
  3. Step 3: Cross multiply
    610,122x = 927,622 × 927,622
  4. Step 4: Simplify right side
    610,122x = 860,482,574,884
  5. Step 5: Solve for x
    x = 860,482,574,884/610,122
  6. Step 6: Final answer
    x = 1,410,345.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.