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Finding the Third Proportional to 610,106 and 927,598

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Solution

The third proportional to 610,106 and 927,598 is: 1,410,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,106 : 927,598 = 927,598 : x
  2. Step 2: Convert to fraction form
    610,106/927,598 = 927,598/x
  3. Step 3: Cross multiply
    610,106x = 927,598 × 927,598
  4. Step 4: Simplify right side
    610,106x = 860,438,049,604
  5. Step 5: Solve for x
    x = 860,438,049,604/610,106
  6. Step 6: Final answer
    x = 1,410,309.11

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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.