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Finding the Third Proportional to 1,578,546 and 3,472,020

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Solution

The third proportional to 1,578,546 and 3,472,020 is: 7,636,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,546 : 3,472,020 = 3,472,020 : x
  2. Step 2: Convert to fraction form
    1,578,546/3,472,020 = 3,472,020/x
  3. Step 3: Cross multiply
    1,578,546x = 3,472,020 × 3,472,020
  4. Step 4: Simplify right side
    1,578,546x = 12,054,922,880,400
  5. Step 5: Solve for x
    x = 12,054,922,880,400/1,578,546
  6. Step 6: Final answer
    x = 7,636,725.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.