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Finding the Third Proportional to 975,900 and 1,477,458

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Solution

The third proportional to 975,900 and 1,477,458 is: 2,236,788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,900 : 1,477,458 = 1,477,458 : x
  2. Step 2: Convert to fraction form
    975,900/1,477,458 = 1,477,458/x
  3. Step 3: Cross multiply
    975,900x = 1,477,458 × 1,477,458
  4. Step 4: Simplify right side
    975,900x = 2,182,882,141,764
  5. Step 5: Solve for x
    x = 2,182,882,141,764/975,900
  6. Step 6: Final answer
    x = 2,236,788.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.