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Finding the Third Proportional to 458,154 and 947,736

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Solution

The third proportional to 458,154 and 947,736 is: 1,960,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,154 : 947,736 = 947,736 : x
  2. Step 2: Convert to fraction form
    458,154/947,736 = 947,736/x
  3. Step 3: Cross multiply
    458,154x = 947,736 × 947,736
  4. Step 4: Simplify right side
    458,154x = 898,203,525,696
  5. Step 5: Solve for x
    x = 898,203,525,696/458,154
  6. Step 6: Final answer
    x = 1,960,483.87

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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.