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Finding the Third Proportional to 854,732 and 1,828,048

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Solution

The third proportional to 854,732 and 1,828,048 is: 3,909,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,732 : 1,828,048 = 1,828,048 : x
  2. Step 2: Convert to fraction form
    854,732/1,828,048 = 1,828,048/x
  3. Step 3: Cross multiply
    854,732x = 1,828,048 × 1,828,048
  4. Step 4: Simplify right side
    854,732x = 3,341,759,490,304
  5. Step 5: Solve for x
    x = 3,341,759,490,304/854,732
  6. Step 6: Final answer
    x = 3,909,716.13

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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.