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Finding the Third Proportional to 453,790 and 954,020

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Solution

The third proportional to 453,790 and 954,020 is: 2,005,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,790 : 954,020 = 954,020 : x
  2. Step 2: Convert to fraction form
    453,790/954,020 = 954,020/x
  3. Step 3: Cross multiply
    453,790x = 954,020 × 954,020
  4. Step 4: Simplify right side
    453,790x = 910,154,160,400
  5. Step 5: Solve for x
    x = 910,154,160,400/453,790
  6. Step 6: Final answer
    x = 2,005,672.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.