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Finding the Third Proportional to 510,740 and 1,036,072

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Solution

The third proportional to 510,740 and 1,036,072 is: 2,101,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,740 : 1,036,072 = 1,036,072 : x
  2. Step 2: Convert to fraction form
    510,740/1,036,072 = 1,036,072/x
  3. Step 3: Cross multiply
    510,740x = 1,036,072 × 1,036,072
  4. Step 4: Simplify right side
    510,740x = 1,073,445,189,184
  5. Step 5: Solve for x
    x = 1,073,445,189,184/510,740
  6. Step 6: Final answer
    x = 2,101,744.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.