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Finding the Third Proportional to 607,488 and 965,487

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Solution

The third proportional to 607,488 and 965,487 is: 1,534,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,488 : 965,487 = 965,487 : x
  2. Step 2: Convert to fraction form
    607,488/965,487 = 965,487/x
  3. Step 3: Cross multiply
    607,488x = 965,487 × 965,487
  4. Step 4: Simplify right side
    607,488x = 932,165,147,169
  5. Step 5: Solve for x
    x = 932,165,147,169/607,488
  6. Step 6: Final answer
    x = 1,534,458.54

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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.