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Finding the Third Proportional to 607,486 and 965,484

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Solution

The third proportional to 607,486 and 965,484 is: 1,534,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,486 : 965,484 = 965,484 : x
  2. Step 2: Convert to fraction form
    607,486/965,484 = 965,484/x
  3. Step 3: Cross multiply
    607,486x = 965,484 × 965,484
  4. Step 4: Simplify right side
    607,486x = 932,159,354,256
  5. Step 5: Solve for x
    x = 932,159,354,256/607,486
  6. Step 6: Final answer
    x = 1,534,454.05

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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.