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Finding the Third Proportional to 458,433 and 975,915

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Solution

The third proportional to 458,433 and 975,915 is: 2,077,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,433 : 975,915 = 975,915 : x
  2. Step 2: Convert to fraction form
    458,433/975,915 = 975,915/x
  3. Step 3: Cross multiply
    458,433x = 975,915 × 975,915
  4. Step 4: Simplify right side
    458,433x = 952,410,087,225
  5. Step 5: Solve for x
    x = 952,410,087,225/458,433
  6. Step 6: Final answer
    x = 2,077,533.88

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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.