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Finding the Third Proportional to 1,293,816 and 1,852,648

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Solution

The third proportional to 1,293,816 and 1,852,648 is: 2,652,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,816 : 1,852,648 = 1,852,648 : x
  2. Step 2: Convert to fraction form
    1,293,816/1,852,648 = 1,852,648/x
  3. Step 3: Cross multiply
    1,293,816x = 1,852,648 × 1,852,648
  4. Step 4: Simplify right side
    1,293,816x = 3,432,304,611,904
  5. Step 5: Solve for x
    x = 3,432,304,611,904/1,293,816
  6. Step 6: Final answer
    x = 2,652,853.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.