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Finding the Third Proportional to 490,038 and 1,051,013

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Solution

The third proportional to 490,038 and 1,051,013 is: 2,254,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,038 : 1,051,013 = 1,051,013 : x
  2. Step 2: Convert to fraction form
    490,038/1,051,013 = 1,051,013/x
  3. Step 3: Cross multiply
    490,038x = 1,051,013 × 1,051,013
  4. Step 4: Simplify right side
    490,038x = 1,104,628,326,169
  5. Step 5: Solve for x
    x = 1,104,628,326,169/490,038
  6. Step 6: Final answer
    x = 2,254,168.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.