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Finding the Third Proportional to 985,652.50 and 1,439,724

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Solution

The third proportional to 985,652.50 and 1,439,724 is: 2,102,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,652.50 : 1,439,724 = 1,439,724 : x
  2. Step 2: Convert to fraction form
    985,652.50/1,439,724 = 1,439,724/x
  3. Step 3: Cross multiply
    985,652.50x = 1,439,724 × 1,439,724
  4. Step 4: Simplify right side
    985,652.50x = 2,072,805,196,176
  5. Step 5: Solve for x
    x = 2,072,805,196,176/985,652.50
  6. Step 6: Final answer
    x = 2,102,977.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.