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Finding the Third Proportional to 697,140 and 1,522,206

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Solution

The third proportional to 697,140 and 1,522,206 is: 3,323,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,140 : 1,522,206 = 1,522,206 : x
  2. Step 2: Convert to fraction form
    697,140/1,522,206 = 1,522,206/x
  3. Step 3: Cross multiply
    697,140x = 1,522,206 × 1,522,206
  4. Step 4: Simplify right side
    697,140x = 2,317,111,106,436
  5. Step 5: Solve for x
    x = 2,317,111,106,436/697,140
  6. Step 6: Final answer
    x = 3,323,738.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.