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Finding the Third Proportional to 649,584 and 1,417,210

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Solution

The third proportional to 649,584 and 1,417,210 is: 3,091,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,584 : 1,417,210 = 1,417,210 : x
  2. Step 2: Convert to fraction form
    649,584/1,417,210 = 1,417,210/x
  3. Step 3: Cross multiply
    649,584x = 1,417,210 × 1,417,210
  4. Step 4: Simplify right side
    649,584x = 2,008,484,184,100
  5. Step 5: Solve for x
    x = 2,008,484,184,100/649,584
  6. Step 6: Final answer
    x = 3,091,954.52

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