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Finding the Third Proportional to 460,401.38 and 1,004,432.63

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Solution

The third proportional to 460,401.38 and 1,004,432.63 is: 2,191,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,401.38 : 1,004,432.63 = 1,004,432.63 : x
  2. Step 2: Convert to fraction form
    460,401.38/1,004,432.63 = 1,004,432.63/x
  3. Step 3: Cross multiply
    460,401.38x = 1,004,432.63 × 1,004,432.63
  4. Step 4: Simplify right side
    460,401.38x = 1,008,884,898,164.39
  5. Step 5: Solve for x
    x = 1,008,884,898,164.39/460,401.38
  6. Step 6: Final answer
    x = 2,191,316.00

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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.