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Finding the Third Proportional to 607,496 and 965,497

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Solution

The third proportional to 607,496 and 965,497 is: 1,534,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,496 : 965,497 = 965,497 : x
  2. Step 2: Convert to fraction form
    607,496/965,497 = 965,497/x
  3. Step 3: Cross multiply
    607,496x = 965,497 × 965,497
  4. Step 4: Simplify right side
    607,496x = 932,184,457,009
  5. Step 5: Solve for x
    x = 932,184,457,009/607,496
  6. Step 6: Final answer
    x = 1,534,470.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.