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Finding the Third Proportional to 452,012 and 683,842

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Solution

The third proportional to 452,012 and 683,842 is: 1,034,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,012 : 683,842 = 683,842 : x
  2. Step 2: Convert to fraction form
    452,012/683,842 = 683,842/x
  3. Step 3: Cross multiply
    452,012x = 683,842 × 683,842
  4. Step 4: Simplify right side
    452,012x = 467,639,880,964
  5. Step 5: Solve for x
    x = 467,639,880,964/452,012
  6. Step 6: Final answer
    x = 1,034,574.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.