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Finding the Third Proportional to 897,944 and 1,953,000

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Solution

The third proportional to 897,944 and 1,953,000 is: 4,247,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,944 : 1,953,000 = 1,953,000 : x
  2. Step 2: Convert to fraction form
    897,944/1,953,000 = 1,953,000/x
  3. Step 3: Cross multiply
    897,944x = 1,953,000 × 1,953,000
  4. Step 4: Simplify right side
    897,944x = 3,814,209,000,000
  5. Step 5: Solve for x
    x = 3,814,209,000,000/897,944
  6. Step 6: Final answer
    x = 4,247,713.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.