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Finding the Third Proportional to 846,768 and 1,810,000

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Solution

The third proportional to 846,768 and 1,810,000 is: 3,868,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,768 : 1,810,000 = 1,810,000 : x
  2. Step 2: Convert to fraction form
    846,768/1,810,000 = 1,810,000/x
  3. Step 3: Cross multiply
    846,768x = 1,810,000 × 1,810,000
  4. Step 4: Simplify right side
    846,768x = 3,276,100,000,000
  5. Step 5: Solve for x
    x = 3,276,100,000,000/846,768
  6. Step 6: Final answer
    x = 3,868,946.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.