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Finding the Third Proportional to 742,902 and 1,628,211

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Solution

The third proportional to 742,902 and 1,628,211 is: 3,568,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,902 : 1,628,211 = 1,628,211 : x
  2. Step 2: Convert to fraction form
    742,902/1,628,211 = 1,628,211/x
  3. Step 3: Cross multiply
    742,902x = 1,628,211 × 1,628,211
  4. Step 4: Simplify right side
    742,902x = 2,651,071,060,521
  5. Step 5: Solve for x
    x = 2,651,071,060,521/742,902
  6. Step 6: Final answer
    x = 3,568,534.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.