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Finding the Third Proportional to 460,324 and 1,004,321

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Solution

The third proportional to 460,324 and 1,004,321 is: 2,191,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,324 : 1,004,321 = 1,004,321 : x
  2. Step 2: Convert to fraction form
    460,324/1,004,321 = 1,004,321/x
  3. Step 3: Cross multiply
    460,324x = 1,004,321 × 1,004,321
  4. Step 4: Simplify right side
    460,324x = 1,008,660,671,041
  5. Step 5: Solve for x
    x = 1,008,660,671,041/460,324
  6. Step 6: Final answer
    x = 2,191,197.22

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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.