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Finding the Third Proportional to 954,421 and 2,045,463

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Solution

The third proportional to 954,421 and 2,045,463 is: 4,383,724.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,421 : 2,045,463 = 2,045,463 : x
  2. Step 2: Convert to fraction form
    954,421/2,045,463 = 2,045,463/x
  3. Step 3: Cross multiply
    954,421x = 2,045,463 × 2,045,463
  4. Step 4: Simplify right side
    954,421x = 4,183,918,884,369
  5. Step 5: Solve for x
    x = 4,183,918,884,369/954,421
  6. Step 6: Final answer
    x = 4,383,724.67

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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.