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Finding the Third Proportional to 494,445 and 1,077,018

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Solution

The third proportional to 494,445 and 1,077,018 is: 2,345,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,445 : 1,077,018 = 1,077,018 : x
  2. Step 2: Convert to fraction form
    494,445/1,077,018 = 1,077,018/x
  3. Step 3: Cross multiply
    494,445x = 1,077,018 × 1,077,018
  4. Step 4: Simplify right side
    494,445x = 1,159,967,772,324
  5. Step 5: Solve for x
    x = 1,159,967,772,324/494,445
  6. Step 6: Final answer
    x = 2,345,999.60

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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.