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Finding the Third Proportional to 1,832,345 and 3,989,986

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Solution

The third proportional to 1,832,345 and 3,989,986 is: 8,688,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,345 : 3,989,986 = 3,989,986 : x
  2. Step 2: Convert to fraction form
    1,832,345/3,989,986 = 3,989,986/x
  3. Step 3: Cross multiply
    1,832,345x = 3,989,986 × 3,989,986
  4. Step 4: Simplify right side
    1,832,345x = 15,919,988,280,196
  5. Step 5: Solve for x
    x = 15,919,988,280,196/1,832,345
  6. Step 6: Final answer
    x = 8,688,313.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.