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Finding the Third Proportional to 476,535 and 1,047,840

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Solution

The third proportional to 476,535 and 1,047,840 is: 2,304,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,535 : 1,047,840 = 1,047,840 : x
  2. Step 2: Convert to fraction form
    476,535/1,047,840 = 1,047,840/x
  3. Step 3: Cross multiply
    476,535x = 1,047,840 × 1,047,840
  4. Step 4: Simplify right side
    476,535x = 1,097,968,665,600
  5. Step 5: Solve for x
    x = 1,097,968,665,600/476,535
  6. Step 6: Final answer
    x = 2,304,067.21

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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.