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Finding the Third Proportional to 603,656 and 1,312,144

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Solution

The third proportional to 603,656 and 1,312,144 is: 2,852,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,656 : 1,312,144 = 1,312,144 : x
  2. Step 2: Convert to fraction form
    603,656/1,312,144 = 1,312,144/x
  3. Step 3: Cross multiply
    603,656x = 1,312,144 × 1,312,144
  4. Step 4: Simplify right side
    603,656x = 1,721,721,876,736
  5. Step 5: Solve for x
    x = 1,721,721,876,736/603,656
  6. Step 6: Final answer
    x = 2,852,157.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.