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Finding the Third Proportional to 985,482 and 1,409,130

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Solution

The third proportional to 985,482 and 1,409,130 is: 2,014,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,482 : 1,409,130 = 1,409,130 : x
  2. Step 2: Convert to fraction form
    985,482/1,409,130 = 1,409,130/x
  3. Step 3: Cross multiply
    985,482x = 1,409,130 × 1,409,130
  4. Step 4: Simplify right side
    985,482x = 1,985,647,356,900
  5. Step 5: Solve for x
    x = 1,985,647,356,900/985,482
  6. Step 6: Final answer
    x = 2,014,899.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.