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Finding the Third Proportional to 368,901 and 870,492

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Solution

The third proportional to 368,901 and 870,492 is: 2,054,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,901 : 870,492 = 870,492 : x
  2. Step 2: Convert to fraction form
    368,901/870,492 = 870,492/x
  3. Step 3: Cross multiply
    368,901x = 870,492 × 870,492
  4. Step 4: Simplify right side
    368,901x = 757,756,322,064
  5. Step 5: Solve for x
    x = 757,756,322,064/368,901
  6. Step 6: Final answer
    x = 2,054,091.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.