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Finding the Third Proportional to 595,984 and 1,299,068

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Solution

The third proportional to 595,984 and 1,299,068 is: 2,831,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,984 : 1,299,068 = 1,299,068 : x
  2. Step 2: Convert to fraction form
    595,984/1,299,068 = 1,299,068/x
  3. Step 3: Cross multiply
    595,984x = 1,299,068 × 1,299,068
  4. Step 4: Simplify right side
    595,984x = 1,687,577,668,624
  5. Step 5: Solve for x
    x = 1,687,577,668,624/595,984
  6. Step 6: Final answer
    x = 2,831,582.17

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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.