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Finding the Third Proportional to 702,451 and 1,657,672

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Solution

The third proportional to 702,451 and 1,657,672 is: 3,911,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,451 : 1,657,672 = 1,657,672 : x
  2. Step 2: Convert to fraction form
    702,451/1,657,672 = 1,657,672/x
  3. Step 3: Cross multiply
    702,451x = 1,657,672 × 1,657,672
  4. Step 4: Simplify right side
    702,451x = 2,747,876,459,584
  5. Step 5: Solve for x
    x = 2,747,876,459,584/702,451
  6. Step 6: Final answer
    x = 3,911,840.77

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.