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Finding the Third Proportional to 1,540,683 and 3,435,417

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Solution

The third proportional to 1,540,683 and 3,435,417 is: 7,660,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,683 : 3,435,417 = 3,435,417 : x
  2. Step 2: Convert to fraction form
    1,540,683/3,435,417 = 3,435,417/x
  3. Step 3: Cross multiply
    1,540,683x = 3,435,417 × 3,435,417
  4. Step 4: Simplify right side
    1,540,683x = 11,802,089,963,889
  5. Step 5: Solve for x
    x = 11,802,089,963,889/1,540,683
  6. Step 6: Final answer
    x = 7,660,297.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.