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Finding the Third Proportional to 450,698 and 913,842

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Solution

The third proportional to 450,698 and 913,842 is: 1,852,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,698 : 913,842 = 913,842 : x
  2. Step 2: Convert to fraction form
    450,698/913,842 = 913,842/x
  3. Step 3: Cross multiply
    450,698x = 913,842 × 913,842
  4. Step 4: Simplify right side
    450,698x = 835,107,200,964
  5. Step 5: Solve for x
    x = 835,107,200,964/450,698
  6. Step 6: Final answer
    x = 1,852,919.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.