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Finding the Third Proportional to 607,554 and 906,403

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Solution

The third proportional to 607,554 and 906,403 is: 1,352,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,554 : 906,403 = 906,403 : x
  2. Step 2: Convert to fraction form
    607,554/906,403 = 906,403/x
  3. Step 3: Cross multiply
    607,554x = 906,403 × 906,403
  4. Step 4: Simplify right side
    607,554x = 821,566,398,409
  5. Step 5: Solve for x
    x = 821,566,398,409/607,554
  6. Step 6: Final answer
    x = 1,352,252.47

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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.