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Finding the Third Proportional to 830,782 and 1,188,035

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Solution

The third proportional to 830,782 and 1,188,035 is: 1,698,913.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,782 : 1,188,035 = 1,188,035 : x
  2. Step 2: Convert to fraction form
    830,782/1,188,035 = 1,188,035/x
  3. Step 3: Cross multiply
    830,782x = 1,188,035 × 1,188,035
  4. Step 4: Simplify right side
    830,782x = 1,411,427,161,225
  5. Step 5: Solve for x
    x = 1,411,427,161,225/830,782
  6. Step 6: Final answer
    x = 1,698,913.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.