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Finding the Third Proportional to 1,560,480 and 3,342,144

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Solution

The third proportional to 1,560,480 and 3,342,144 is: 7,158,006.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,480 : 3,342,144 = 3,342,144 : x
  2. Step 2: Convert to fraction form
    1,560,480/3,342,144 = 3,342,144/x
  3. Step 3: Cross multiply
    1,560,480x = 3,342,144 × 3,342,144
  4. Step 4: Simplify right side
    1,560,480x = 11,169,926,516,736
  5. Step 5: Solve for x
    x = 11,169,926,516,736/1,560,480
  6. Step 6: Final answer
    x = 7,158,006.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.