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Finding the Third Proportional to 597,971 and 1,268,842

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Solution

The third proportional to 597,971 and 1,268,842 is: 2,692,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,971 : 1,268,842 = 1,268,842 : x
  2. Step 2: Convert to fraction form
    597,971/1,268,842 = 1,268,842/x
  3. Step 3: Cross multiply
    597,971x = 1,268,842 × 1,268,842
  4. Step 4: Simplify right side
    597,971x = 1,609,960,020,964
  5. Step 5: Solve for x
    x = 1,609,960,020,964/597,971
  6. Step 6: Final answer
    x = 2,692,371.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.