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Finding the Third Proportional to 494,730 and 1,059,420

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Solution

The third proportional to 494,730 and 1,059,420 is: 2,268,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,730 : 1,059,420 = 1,059,420 : x
  2. Step 2: Convert to fraction form
    494,730/1,059,420 = 1,059,420/x
  3. Step 3: Cross multiply
    494,730x = 1,059,420 × 1,059,420
  4. Step 4: Simplify right side
    494,730x = 1,122,370,736,400
  5. Step 5: Solve for x
    x = 1,122,370,736,400/494,730
  6. Step 6: Final answer
    x = 2,268,653.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.