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Finding the Third Proportional to 1,584,254 and 3,407,336

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Solution

The third proportional to 1,584,254 and 3,407,336 is: 7,328,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,254 : 3,407,336 = 3,407,336 : x
  2. Step 2: Convert to fraction form
    1,584,254/3,407,336 = 3,407,336/x
  3. Step 3: Cross multiply
    1,584,254x = 3,407,336 × 3,407,336
  4. Step 4: Simplify right side
    1,584,254x = 11,609,938,616,896
  5. Step 5: Solve for x
    x = 11,609,938,616,896/1,584,254
  6. Step 6: Final answer
    x = 7,328,331.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.