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Finding the Third Proportional to 657,612 and 1,436,984

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Solution

The third proportional to 657,612 and 1,436,984 is: 3,140,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,612 : 1,436,984 = 1,436,984 : x
  2. Step 2: Convert to fraction form
    657,612/1,436,984 = 1,436,984/x
  3. Step 3: Cross multiply
    657,612x = 1,436,984 × 1,436,984
  4. Step 4: Simplify right side
    657,612x = 2,064,923,016,256
  5. Step 5: Solve for x
    x = 2,064,923,016,256/657,612
  6. Step 6: Final answer
    x = 3,140,032.45

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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.