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Finding the Third Proportional to 494,445 and 1,063,410

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Solution

The third proportional to 494,445 and 1,063,410 is: 2,287,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,445 : 1,063,410 = 1,063,410 : x
  2. Step 2: Convert to fraction form
    494,445/1,063,410 = 1,063,410/x
  3. Step 3: Cross multiply
    494,445x = 1,063,410 × 1,063,410
  4. Step 4: Simplify right side
    494,445x = 1,130,840,828,100
  5. Step 5: Solve for x
    x = 1,130,840,828,100/494,445
  6. Step 6: Final answer
    x = 2,287,091.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.