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Finding the Third Proportional to 597,864 and 873,804

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Solution

The third proportional to 597,864 and 873,804 is: 1,277,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,864 : 873,804 = 873,804 : x
  2. Step 2: Convert to fraction form
    597,864/873,804 = 873,804/x
  3. Step 3: Cross multiply
    597,864x = 873,804 × 873,804
  4. Step 4: Simplify right side
    597,864x = 763,533,430,416
  5. Step 5: Solve for x
    x = 763,533,430,416/597,864
  6. Step 6: Final answer
    x = 1,277,102.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.