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Finding the Third Proportional to 607,468 and 965,454

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Solution

The third proportional to 607,468 and 965,454 is: 1,534,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,468 : 965,454 = 965,454 : x
  2. Step 2: Convert to fraction form
    607,468/965,454 = 965,454/x
  3. Step 3: Cross multiply
    607,468x = 965,454 × 965,454
  4. Step 4: Simplify right side
    607,468x = 932,101,426,116
  5. Step 5: Solve for x
    x = 932,101,426,116/607,468
  6. Step 6: Final answer
    x = 1,534,404.16

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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.