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Finding the Third Proportional to 486,780 and 1,065,320

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Solution

The third proportional to 486,780 and 1,065,320 is: 2,331,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,780 : 1,065,320 = 1,065,320 : x
  2. Step 2: Convert to fraction form
    486,780/1,065,320 = 1,065,320/x
  3. Step 3: Cross multiply
    486,780x = 1,065,320 × 1,065,320
  4. Step 4: Simplify right side
    486,780x = 1,134,906,702,400
  5. Step 5: Solve for x
    x = 1,134,906,702,400/486,780
  6. Step 6: Final answer
    x = 2,331,457.13

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