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Finding the Third Proportional to 1,577,643 and 2,256,048

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Solution

The third proportional to 1,577,643 and 2,256,048 is: 3,226,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,643 : 2,256,048 = 2,256,048 : x
  2. Step 2: Convert to fraction form
    1,577,643/2,256,048 = 2,256,048/x
  3. Step 3: Cross multiply
    1,577,643x = 2,256,048 × 2,256,048
  4. Step 4: Simplify right side
    1,577,643x = 5,089,752,578,304
  5. Step 5: Solve for x
    x = 5,089,752,578,304/1,577,643
  6. Step 6: Final answer
    x = 3,226,175.11

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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.