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Finding the Third Proportional to 697,142 and 1,522,210

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Solution

The third proportional to 697,142 and 1,522,210 is: 3,323,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,142 : 1,522,210 = 1,522,210 : x
  2. Step 2: Convert to fraction form
    697,142/1,522,210 = 1,522,210/x
  3. Step 3: Cross multiply
    697,142x = 1,522,210 × 1,522,210
  4. Step 4: Simplify right side
    697,142x = 2,317,123,284,100
  5. Step 5: Solve for x
    x = 2,317,123,284,100/697,142
  6. Step 6: Final answer
    x = 3,323,746.50

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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.