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Finding the Third Proportional to 657,588 and 965,640

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Solution

The third proportional to 657,588 and 965,640 is: 1,418,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,588 : 965,640 = 965,640 : x
  2. Step 2: Convert to fraction form
    657,588/965,640 = 965,640/x
  3. Step 3: Cross multiply
    657,588x = 965,640 × 965,640
  4. Step 4: Simplify right side
    657,588x = 932,460,609,600
  5. Step 5: Solve for x
    x = 932,460,609,600/657,588
  6. Step 6: Final answer
    x = 1,418,001.26

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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.