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Finding the Third Proportional to 862,358 and 1,814,097

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Solution

The third proportional to 862,358 and 1,814,097 is: 3,816,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,358 : 1,814,097 = 1,814,097 : x
  2. Step 2: Convert to fraction form
    862,358/1,814,097 = 1,814,097/x
  3. Step 3: Cross multiply
    862,358x = 1,814,097 × 1,814,097
  4. Step 4: Simplify right side
    862,358x = 3,290,947,925,409
  5. Step 5: Solve for x
    x = 3,290,947,925,409/862,358
  6. Step 6: Final answer
    x = 3,816,220.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.