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Finding the Third Proportional to 649,575 and 1,417,194

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Solution

The third proportional to 649,575 and 1,417,194 is: 3,091,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,575 : 1,417,194 = 1,417,194 : x
  2. Step 2: Convert to fraction form
    649,575/1,417,194 = 1,417,194/x
  3. Step 3: Cross multiply
    649,575x = 1,417,194 × 1,417,194
  4. Step 4: Simplify right side
    649,575x = 2,008,438,833,636
  5. Step 5: Solve for x
    x = 2,008,438,833,636/649,575
  6. Step 6: Final answer
    x = 3,091,927.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.