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Finding the Third Proportional to 607,896 and 1,407,284

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Solution

The third proportional to 607,896 and 1,407,284 is: 3,257,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,896 : 1,407,284 = 1,407,284 : x
  2. Step 2: Convert to fraction form
    607,896/1,407,284 = 1,407,284/x
  3. Step 3: Cross multiply
    607,896x = 1,407,284 × 1,407,284
  4. Step 4: Simplify right side
    607,896x = 1,980,448,256,656
  5. Step 5: Solve for x
    x = 1,980,448,256,656/607,896
  6. Step 6: Final answer
    x = 3,257,873.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.