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Finding the Third Proportional to 564,894 and 899,991

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Solution

The third proportional to 564,894 and 899,991 is: 1,433,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,894 : 899,991 = 899,991 : x
  2. Step 2: Convert to fraction form
    564,894/899,991 = 899,991/x
  3. Step 3: Cross multiply
    564,894x = 899,991 × 899,991
  4. Step 4: Simplify right side
    564,894x = 809,983,800,081
  5. Step 5: Solve for x
    x = 809,983,800,081/564,894
  6. Step 6: Final answer
    x = 1,433,868.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.