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Finding the Third Proportional to 607,455 and 906,264

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Solution

The third proportional to 607,455 and 906,264 is: 1,352,058.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,455 : 906,264 = 906,264 : x
  2. Step 2: Convert to fraction form
    607,455/906,264 = 906,264/x
  3. Step 3: Cross multiply
    607,455x = 906,264 × 906,264
  4. Step 4: Simplify right side
    607,455x = 821,314,437,696
  5. Step 5: Solve for x
    x = 821,314,437,696/607,455
  6. Step 6: Final answer
    x = 1,352,058.07

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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.