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Finding the Third Proportional to 607,487 and 965,486

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Solution

The third proportional to 607,487 and 965,486 is: 1,534,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,487 : 965,486 = 965,486 : x
  2. Step 2: Convert to fraction form
    607,487/965,486 = 965,486/x
  3. Step 3: Cross multiply
    607,487x = 965,486 × 965,486
  4. Step 4: Simplify right side
    607,487x = 932,163,216,196
  5. Step 5: Solve for x
    x = 932,163,216,196/607,487
  6. Step 6: Final answer
    x = 1,534,457.88

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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.