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Finding the Third Proportional to 564,762 and 1,159,590

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Solution

The third proportional to 564,762 and 1,159,590 is: 2,380,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,762 : 1,159,590 = 1,159,590 : x
  2. Step 2: Convert to fraction form
    564,762/1,159,590 = 1,159,590/x
  3. Step 3: Cross multiply
    564,762x = 1,159,590 × 1,159,590
  4. Step 4: Simplify right side
    564,762x = 1,344,648,968,100
  5. Step 5: Solve for x
    x = 1,344,648,968,100/564,762
  6. Step 6: Final answer
    x = 2,380,912.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.