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Finding the Third Proportional to 569,594 and 1,212,808

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Solution

The third proportional to 569,594 and 1,212,808 is: 2,582,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,594 : 1,212,808 = 1,212,808 : x
  2. Step 2: Convert to fraction form
    569,594/1,212,808 = 1,212,808/x
  3. Step 3: Cross multiply
    569,594x = 1,212,808 × 1,212,808
  4. Step 4: Simplify right side
    569,594x = 1,470,903,244,864
  5. Step 5: Solve for x
    x = 1,470,903,244,864/569,594
  6. Step 6: Final answer
    x = 2,582,371.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.