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Finding the Third Proportional to 543,964 and 898,972

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Solution

The third proportional to 543,964 and 898,972 is: 1,485,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,964 : 898,972 = 898,972 : x
  2. Step 2: Convert to fraction form
    543,964/898,972 = 898,972/x
  3. Step 3: Cross multiply
    543,964x = 898,972 × 898,972
  4. Step 4: Simplify right side
    543,964x = 808,150,656,784
  5. Step 5: Solve for x
    x = 808,150,656,784/543,964
  6. Step 6: Final answer
    x = 1,485,669.38

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.