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Finding the Third Proportional to 460,333.13 and 1,004,303.81

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Solution

The third proportional to 460,333.13 and 1,004,303.81 is: 2,191,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,333.13 : 1,004,303.81 = 1,004,303.81 : x
  2. Step 2: Convert to fraction form
    460,333.13/1,004,303.81 = 1,004,303.81/x
  3. Step 3: Cross multiply
    460,333.13x = 1,004,303.81 × 1,004,303.81
  4. Step 4: Simplify right side
    460,333.13x = 1,008,626,147,802.04
  5. Step 5: Solve for x
    x = 1,008,626,147,802.04/460,333.13
  6. Step 6: Final answer
    x = 2,191,078.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.