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Finding the Third Proportional to 450,695 and 913,835

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Solution

The third proportional to 450,695 and 913,835 is: 1,852,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,695 : 913,835 = 913,835 : x
  2. Step 2: Convert to fraction form
    450,695/913,835 = 913,835/x
  3. Step 3: Cross multiply
    450,695x = 913,835 × 913,835
  4. Step 4: Simplify right side
    450,695x = 835,094,407,225
  5. Step 5: Solve for x
    x = 835,094,407,225/450,695
  6. Step 6: Final answer
    x = 1,852,903.64

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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.