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Finding the Third Proportional to 657,594 and 965,649

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Solution

The third proportional to 657,594 and 965,649 is: 1,418,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,594 : 965,649 = 965,649 : x
  2. Step 2: Convert to fraction form
    657,594/965,649 = 965,649/x
  3. Step 3: Cross multiply
    657,594x = 965,649 × 965,649
  4. Step 4: Simplify right side
    657,594x = 932,477,991,201
  5. Step 5: Solve for x
    x = 932,477,991,201/657,594
  6. Step 6: Final answer
    x = 1,418,014.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.