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Finding the Third Proportional to 657,954 and 1,434,897

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Solution

The third proportional to 657,954 and 1,434,897 is: 3,129,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,954 : 1,434,897 = 1,434,897 : x
  2. Step 2: Convert to fraction form
    657,954/1,434,897 = 1,434,897/x
  3. Step 3: Cross multiply
    657,954x = 1,434,897 × 1,434,897
  4. Step 4: Simplify right side
    657,954x = 2,058,929,400,609
  5. Step 5: Solve for x
    x = 2,058,929,400,609/657,954
  6. Step 6: Final answer
    x = 3,129,290.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.