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Finding the Third Proportional to 1,002,564 and 2,164,932

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Solution

The third proportional to 1,002,564 and 2,164,932 is: 4,674,944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,564 : 2,164,932 = 2,164,932 : x
  2. Step 2: Convert to fraction form
    1,002,564/2,164,932 = 2,164,932/x
  3. Step 3: Cross multiply
    1,002,564x = 2,164,932 × 2,164,932
  4. Step 4: Simplify right side
    1,002,564x = 4,686,930,564,624
  5. Step 5: Solve for x
    x = 4,686,930,564,624/1,002,564
  6. Step 6: Final answer
    x = 4,674,944.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.