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Finding the Third Proportional to 452,495 and 949,054

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Solution

The third proportional to 452,495 and 949,054 is: 1,990,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,495 : 949,054 = 949,054 : x
  2. Step 2: Convert to fraction form
    452,495/949,054 = 949,054/x
  3. Step 3: Cross multiply
    452,495x = 949,054 × 949,054
  4. Step 4: Simplify right side
    452,495x = 900,703,494,916
  5. Step 5: Solve for x
    x = 900,703,494,916/452,495
  6. Step 6: Final answer
    x = 1,990,526.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.