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Finding the Third Proportional to 802,926 and 1,182,210

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Solution

The third proportional to 802,926 and 1,182,210 is: 1,740,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,926 : 1,182,210 = 1,182,210 : x
  2. Step 2: Convert to fraction form
    802,926/1,182,210 = 1,182,210/x
  3. Step 3: Cross multiply
    802,926x = 1,182,210 × 1,182,210
  4. Step 4: Simplify right side
    802,926x = 1,397,620,484,100
  5. Step 5: Solve for x
    x = 1,397,620,484,100/802,926
  6. Step 6: Final answer
    x = 1,740,659.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.