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Finding the Third Proportional to 802,166 and 1,742,652

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Solution

The third proportional to 802,166 and 1,742,652 is: 3,785,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,166 : 1,742,652 = 1,742,652 : x
  2. Step 2: Convert to fraction form
    802,166/1,742,652 = 1,742,652/x
  3. Step 3: Cross multiply
    802,166x = 1,742,652 × 1,742,652
  4. Step 4: Simplify right side
    802,166x = 3,036,835,993,104
  5. Step 5: Solve for x
    x = 3,036,835,993,104/802,166
  6. Step 6: Final answer
    x = 3,785,794.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.