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Finding the Third Proportional to 486,770 and 1,065,301

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Solution

The third proportional to 486,770 and 1,065,301 is: 2,331,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,770 : 1,065,301 = 1,065,301 : x
  2. Step 2: Convert to fraction form
    486,770/1,065,301 = 1,065,301/x
  3. Step 3: Cross multiply
    486,770x = 1,065,301 × 1,065,301
  4. Step 4: Simplify right side
    486,770x = 1,134,866,220,601
  5. Step 5: Solve for x
    x = 1,134,866,220,601/486,770
  6. Step 6: Final answer
    x = 2,331,421.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.