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Finding the Third Proportional to 986,046 and 1,409,085

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Solution

The third proportional to 986,046 and 1,409,085 is: 2,013,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,046 : 1,409,085 = 1,409,085 : x
  2. Step 2: Convert to fraction form
    986,046/1,409,085 = 1,409,085/x
  3. Step 3: Cross multiply
    986,046x = 1,409,085 × 1,409,085
  4. Step 4: Simplify right side
    986,046x = 1,985,520,537,225
  5. Step 5: Solve for x
    x = 1,985,520,537,225/986,046
  6. Step 6: Final answer
    x = 2,013,618.57

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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.