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Finding the Third Proportional to 954,417 and 2,045,455

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Solution

The third proportional to 954,417 and 2,045,455 is: 4,383,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,417 : 2,045,455 = 2,045,455 : x
  2. Step 2: Convert to fraction form
    954,417/2,045,455 = 2,045,455/x
  3. Step 3: Cross multiply
    954,417x = 2,045,455 × 2,045,455
  4. Step 4: Simplify right side
    954,417x = 4,183,886,157,025
  5. Step 5: Solve for x
    x = 4,183,886,157,025/954,417
  6. Step 6: Final answer
    x = 4,383,708.75

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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.