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Finding the Third Proportional to 595,694 and 1,296,460

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Solution

The third proportional to 595,694 and 1,296,460 is: 2,821,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,694 : 1,296,460 = 1,296,460 : x
  2. Step 2: Convert to fraction form
    595,694/1,296,460 = 1,296,460/x
  3. Step 3: Cross multiply
    595,694x = 1,296,460 × 1,296,460
  4. Step 4: Simplify right side
    595,694x = 1,680,808,531,600
  5. Step 5: Solve for x
    x = 1,680,808,531,600/595,694
  6. Step 6: Final answer
    x = 2,821,597.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.