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Finding the Third Proportional to 830,768 and 1,787,896

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Solution

The third proportional to 830,768 and 1,787,896 is: 3,847,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,768 : 1,787,896 = 1,787,896 : x
  2. Step 2: Convert to fraction form
    830,768/1,787,896 = 1,787,896/x
  3. Step 3: Cross multiply
    830,768x = 1,787,896 × 1,787,896
  4. Step 4: Simplify right side
    830,768x = 3,196,572,106,816
  5. Step 5: Solve for x
    x = 3,196,572,106,816/830,768
  6. Step 6: Final answer
    x = 3,847,731.38

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