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Finding the Third Proportional to 974,796 and 1,454,080

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Solution

The third proportional to 974,796 and 1,454,080 is: 2,169,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,796 : 1,454,080 = 1,454,080 : x
  2. Step 2: Convert to fraction form
    974,796/1,454,080 = 1,454,080/x
  3. Step 3: Cross multiply
    974,796x = 1,454,080 × 1,454,080
  4. Step 4: Simplify right side
    974,796x = 2,114,348,646,400
  5. Step 5: Solve for x
    x = 2,114,348,646,400/974,796
  6. Step 6: Final answer
    x = 2,169,016.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.