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Finding the Third Proportional to 607,960 and 932,546

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Solution

The third proportional to 607,960 and 932,546 is: 1,430,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,960 : 932,546 = 932,546 : x
  2. Step 2: Convert to fraction form
    607,960/932,546 = 932,546/x
  3. Step 3: Cross multiply
    607,960x = 932,546 × 932,546
  4. Step 4: Simplify right side
    607,960x = 869,642,042,116
  5. Step 5: Solve for x
    x = 869,642,042,116/607,960
  6. Step 6: Final answer
    x = 1,430,426.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.