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Finding the Third Proportional to 846,547 and 1,807,911

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Solution

The third proportional to 846,547 and 1,807,911 is: 3,861,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,547 : 1,807,911 = 1,807,911 : x
  2. Step 2: Convert to fraction form
    846,547/1,807,911 = 1,807,911/x
  3. Step 3: Cross multiply
    846,547x = 1,807,911 × 1,807,911
  4. Step 4: Simplify right side
    846,547x = 3,268,542,183,921
  5. Step 5: Solve for x
    x = 3,268,542,183,921/846,547
  6. Step 6: Final answer
    x = 3,861,028.61

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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.