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Finding the Third Proportional to 687,970 and 1,459,194

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Solution

The third proportional to 687,970 and 1,459,194 is: 3,094,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,970 : 1,459,194 = 1,459,194 : x
  2. Step 2: Convert to fraction form
    687,970/1,459,194 = 1,459,194/x
  3. Step 3: Cross multiply
    687,970x = 1,459,194 × 1,459,194
  4. Step 4: Simplify right side
    687,970x = 2,129,247,129,636
  5. Step 5: Solve for x
    x = 2,129,247,129,636/687,970
  6. Step 6: Final answer
    x = 3,094,970.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.