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Finding the Third Proportional to 599,464 and 1,265,840

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Solution

The third proportional to 599,464 and 1,265,840 is: 2,672,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,464 : 1,265,840 = 1,265,840 : x
  2. Step 2: Convert to fraction form
    599,464/1,265,840 = 1,265,840/x
  3. Step 3: Cross multiply
    599,464x = 1,265,840 × 1,265,840
  4. Step 4: Simplify right side
    599,464x = 1,602,350,905,600
  5. Step 5: Solve for x
    x = 1,602,350,905,600/599,464
  6. Step 6: Final answer
    x = 2,672,972.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.