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Finding the Third Proportional to 1,330,502 and 2,048,241

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Solution

The third proportional to 1,330,502 and 2,048,241 is: 3,153,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,502 : 2,048,241 = 2,048,241 : x
  2. Step 2: Convert to fraction form
    1,330,502/2,048,241 = 2,048,241/x
  3. Step 3: Cross multiply
    1,330,502x = 2,048,241 × 2,048,241
  4. Step 4: Simplify right side
    1,330,502x = 4,195,291,194,081
  5. Step 5: Solve for x
    x = 4,195,291,194,081/1,330,502
  6. Step 6: Final answer
    x = 3,153,164.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.