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Finding the Third Proportional to 830,774 and 1,188,023

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Solution

The third proportional to 830,774 and 1,188,023 is: 1,698,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,774 : 1,188,023 = 1,188,023 : x
  2. Step 2: Convert to fraction form
    830,774/1,188,023 = 1,188,023/x
  3. Step 3: Cross multiply
    830,774x = 1,188,023 × 1,188,023
  4. Step 4: Simplify right side
    830,774x = 1,411,398,648,529
  5. Step 5: Solve for x
    x = 1,411,398,648,529/830,774
  6. Step 6: Final answer
    x = 1,698,896.03

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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.