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Finding the Third Proportional to 607,482 and 965,478

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Solution

The third proportional to 607,482 and 965,478 is: 1,534,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,482 : 965,478 = 965,478 : x
  2. Step 2: Convert to fraction form
    607,482/965,478 = 965,478/x
  3. Step 3: Cross multiply
    607,482x = 965,478 × 965,478
  4. Step 4: Simplify right side
    607,482x = 932,147,768,484
  5. Step 5: Solve for x
    x = 932,147,768,484/607,482
  6. Step 6: Final answer
    x = 1,534,445.08

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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.