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Finding the Third Proportional to 668,224 and 1,036,288

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Solution

The third proportional to 668,224 and 1,036,288 is: 1,607,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,224 : 1,036,288 = 1,036,288 : x
  2. Step 2: Convert to fraction form
    668,224/1,036,288 = 1,036,288/x
  3. Step 3: Cross multiply
    668,224x = 1,036,288 × 1,036,288
  4. Step 4: Simplify right side
    668,224x = 1,073,892,818,944
  5. Step 5: Solve for x
    x = 1,073,892,818,944/668,224
  6. Step 6: Final answer
    x = 1,607,085.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.