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Finding the Third Proportional to 501,651 and 1,071,342

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Solution

The third proportional to 501,651 and 1,071,342 is: 2,287,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,651 : 1,071,342 = 1,071,342 : x
  2. Step 2: Convert to fraction form
    501,651/1,071,342 = 1,071,342/x
  3. Step 3: Cross multiply
    501,651x = 1,071,342 × 1,071,342
  4. Step 4: Simplify right side
    501,651x = 1,147,773,680,964
  5. Step 5: Solve for x
    x = 1,147,773,680,964/501,651
  6. Step 6: Final answer
    x = 2,287,992.41

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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.