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Finding the Third Proportional to 458,442 and 975,936

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Solution

The third proportional to 458,442 and 975,936 is: 2,077,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,442 : 975,936 = 975,936 : x
  2. Step 2: Convert to fraction form
    458,442/975,936 = 975,936/x
  3. Step 3: Cross multiply
    458,442x = 975,936 × 975,936
  4. Step 4: Simplify right side
    458,442x = 952,451,076,096
  5. Step 5: Solve for x
    x = 952,451,076,096/458,442
  6. Step 6: Final answer
    x = 2,077,582.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.