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Finding the Third Proportional to 460,392.61 and 1,004,415.19

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Solution

The third proportional to 460,392.61 and 1,004,415.19 is: 2,191,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,392.61 : 1,004,415.19 = 1,004,415.19 : x
  2. Step 2: Convert to fraction form
    460,392.61/1,004,415.19 = 1,004,415.19/x
  3. Step 3: Cross multiply
    460,392.61x = 1,004,415.19 × 1,004,415.19
  4. Step 4: Simplify right side
    460,392.61x = 1,008,849,868,880.66
  5. Step 5: Solve for x
    x = 1,008,849,868,880.66/460,392.61
  6. Step 6: Final answer
    x = 2,191,281.63

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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.