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Finding the Third Proportional to 957,477 and 1,417,729.50

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Solution

The third proportional to 957,477 and 1,417,729.50 is: 2,099,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,477 : 1,417,729.50 = 1,417,729.50 : x
  2. Step 2: Convert to fraction form
    957,477/1,417,729.50 = 1,417,729.50/x
  3. Step 3: Cross multiply
    957,477x = 1,417,729.50 × 1,417,729.50
  4. Step 4: Simplify right side
    957,477x = 2,009,956,935,170.25
  5. Step 5: Solve for x
    x = 2,009,956,935,170.25/957,477
  6. Step 6: Final answer
    x = 2,099,222.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.