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Finding the Third Proportional to 703,664 and 1,536,364

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Solution

The third proportional to 703,664 and 1,536,364 is: 3,354,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,664 : 1,536,364 = 1,536,364 : x
  2. Step 2: Convert to fraction form
    703,664/1,536,364 = 1,536,364/x
  3. Step 3: Cross multiply
    703,664x = 1,536,364 × 1,536,364
  4. Step 4: Simplify right side
    703,664x = 2,360,414,340,496
  5. Step 5: Solve for x
    x = 2,360,414,340,496/703,664
  6. Step 6: Final answer
    x = 3,354,462.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.