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Finding the Third Proportional to 450,706 and 913,856

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Solution

The third proportional to 450,706 and 913,856 is: 1,852,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,706 : 913,856 = 913,856 : x
  2. Step 2: Convert to fraction form
    450,706/913,856 = 913,856/x
  3. Step 3: Cross multiply
    450,706x = 913,856 × 913,856
  4. Step 4: Simplify right side
    450,706x = 835,132,788,736
  5. Step 5: Solve for x
    x = 835,132,788,736/450,706
  6. Step 6: Final answer
    x = 1,852,943.58

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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.