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Finding the Third Proportional to 657,610 and 1,436,980

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Solution

The third proportional to 657,610 and 1,436,980 is: 3,140,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,610 : 1,436,980 = 1,436,980 : x
  2. Step 2: Convert to fraction form
    657,610/1,436,980 = 1,436,980/x
  3. Step 3: Cross multiply
    657,610x = 1,436,980 × 1,436,980
  4. Step 4: Simplify right side
    657,610x = 2,064,911,520,400
  5. Step 5: Solve for x
    x = 2,064,911,520,400/657,610
  6. Step 6: Final answer
    x = 3,140,024.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.