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Finding the Third Proportional to 742,908 and 1,628,222

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Solution

The third proportional to 742,908 and 1,628,222 is: 3,568,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,908 : 1,628,222 = 1,628,222 : x
  2. Step 2: Convert to fraction form
    742,908/1,628,222 = 1,628,222/x
  3. Step 3: Cross multiply
    742,908x = 1,628,222 × 1,628,222
  4. Step 4: Simplify right side
    742,908x = 2,651,106,881,284
  5. Step 5: Solve for x
    x = 2,651,106,881,284/742,908
  6. Step 6: Final answer
    x = 3,568,553.42

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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.