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Finding the Third Proportional to 742,913 and 1,628,232

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Solution

The third proportional to 742,913 and 1,628,232 is: 3,568,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,913 : 1,628,232 = 1,628,232 : x
  2. Step 2: Convert to fraction form
    742,913/1,628,232 = 1,628,232/x
  3. Step 3: Cross multiply
    742,913x = 1,628,232 × 1,628,232
  4. Step 4: Simplify right side
    742,913x = 2,651,139,445,824
  5. Step 5: Solve for x
    x = 2,651,139,445,824/742,913
  6. Step 6: Final answer
    x = 3,568,573.23

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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.