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Finding the Third Proportional to 657,586 and 1,413,443

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Solution

The third proportional to 657,586 and 1,413,443 is: 3,038,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,586 : 1,413,443 = 1,413,443 : x
  2. Step 2: Convert to fraction form
    657,586/1,413,443 = 1,413,443/x
  3. Step 3: Cross multiply
    657,586x = 1,413,443 × 1,413,443
  4. Step 4: Simplify right side
    657,586x = 1,997,821,114,249
  5. Step 5: Solve for x
    x = 1,997,821,114,249/657,586
  6. Step 6: Final answer
    x = 3,038,113.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.