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Finding the Third Proportional to 511,632 and 1,124,784

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Solution

The third proportional to 511,632 and 1,124,784 is: 2,472,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,632 : 1,124,784 = 1,124,784 : x
  2. Step 2: Convert to fraction form
    511,632/1,124,784 = 1,124,784/x
  3. Step 3: Cross multiply
    511,632x = 1,124,784 × 1,124,784
  4. Step 4: Simplify right side
    511,632x = 1,265,139,046,656
  5. Step 5: Solve for x
    x = 1,265,139,046,656/511,632
  6. Step 6: Final answer
    x = 2,472,751.99

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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.