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Finding the Third Proportional to 986,019 and 1,409,043

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Solution

The third proportional to 986,019 and 1,409,043 is: 2,013,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,019 : 1,409,043 = 1,409,043 : x
  2. Step 2: Convert to fraction form
    986,019/1,409,043 = 1,409,043/x
  3. Step 3: Cross multiply
    986,019x = 1,409,043 × 1,409,043
  4. Step 4: Simplify right side
    986,019x = 1,985,402,175,849
  5. Step 5: Solve for x
    x = 1,985,402,175,849/986,019
  6. Step 6: Final answer
    x = 2,013,553.67

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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.