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Finding the Third Proportional to 607,558 and 906,409

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Solution

The third proportional to 607,558 and 906,409 is: 1,352,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,558 : 906,409 = 906,409 : x
  2. Step 2: Convert to fraction form
    607,558/906,409 = 906,409/x
  3. Step 3: Cross multiply
    607,558x = 906,409 × 906,409
  4. Step 4: Simplify right side
    607,558x = 821,577,275,281
  5. Step 5: Solve for x
    x = 821,577,275,281/607,558
  6. Step 6: Final answer
    x = 1,352,261.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.