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Finding the Third Proportional to 469,143 and 1,004,715

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Solution

The third proportional to 469,143 and 1,004,715 is: 2,151,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,143 : 1,004,715 = 1,004,715 : x
  2. Step 2: Convert to fraction form
    469,143/1,004,715 = 1,004,715/x
  3. Step 3: Cross multiply
    469,143x = 1,004,715 × 1,004,715
  4. Step 4: Simplify right side
    469,143x = 1,009,452,231,225
  5. Step 5: Solve for x
    x = 1,009,452,231,225/469,143
  6. Step 6: Final answer
    x = 2,151,694.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.