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Finding the Third Proportional to 458,153 and 947,733

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Solution

The third proportional to 458,153 and 947,733 is: 1,960,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,153 : 947,733 = 947,733 : x
  2. Step 2: Convert to fraction form
    458,153/947,733 = 947,733/x
  3. Step 3: Cross multiply
    458,153x = 947,733 × 947,733
  4. Step 4: Simplify right side
    458,153x = 898,197,839,289
  5. Step 5: Solve for x
    x = 898,197,839,289/458,153
  6. Step 6: Final answer
    x = 1,960,475.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.