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Finding the Third Proportional to 700,072 and 1,496,104

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Solution

The third proportional to 700,072 and 1,496,104 is: 3,197,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,072 : 1,496,104 = 1,496,104 : x
  2. Step 2: Convert to fraction form
    700,072/1,496,104 = 1,496,104/x
  3. Step 3: Cross multiply
    700,072x = 1,496,104 × 1,496,104
  4. Step 4: Simplify right side
    700,072x = 2,238,327,178,816
  5. Step 5: Solve for x
    x = 2,238,327,178,816/700,072
  6. Step 6: Final answer
    x = 3,197,281.39

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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.