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Finding the Third Proportional to 802,170 and 1,742,660

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Solution

The third proportional to 802,170 and 1,742,660 is: 3,785,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,170 : 1,742,660 = 1,742,660 : x
  2. Step 2: Convert to fraction form
    802,170/1,742,660 = 1,742,660/x
  3. Step 3: Cross multiply
    802,170x = 1,742,660 × 1,742,660
  4. Step 4: Simplify right side
    802,170x = 3,036,863,875,600
  5. Step 5: Solve for x
    x = 3,036,863,875,600/802,170
  6. Step 6: Final answer
    x = 3,785,810.83

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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.