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Finding the Third Proportional to 501,034 and 1,073,010

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Solution

The third proportional to 501,034 and 1,073,010 is: 2,297,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,034 : 1,073,010 = 1,073,010 : x
  2. Step 2: Convert to fraction form
    501,034/1,073,010 = 1,073,010/x
  3. Step 3: Cross multiply
    501,034x = 1,073,010 × 1,073,010
  4. Step 4: Simplify right side
    501,034x = 1,151,350,460,100
  5. Step 5: Solve for x
    x = 1,151,350,460,100/501,034
  6. Step 6: Final answer
    x = 2,297,948.76

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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.