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Finding the Third Proportional to 654,720 and 1,409,556

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Solution

The third proportional to 654,720 and 1,409,556 is: 3,034,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,720 : 1,409,556 = 1,409,556 : x
  2. Step 2: Convert to fraction form
    654,720/1,409,556 = 1,409,556/x
  3. Step 3: Cross multiply
    654,720x = 1,409,556 × 1,409,556
  4. Step 4: Simplify right side
    654,720x = 1,986,848,117,136
  5. Step 5: Solve for x
    x = 1,986,848,117,136/654,720
  6. Step 6: Final answer
    x = 3,034,653.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.