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Finding the Third Proportional to 1,405,948 and 2,128,639

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Solution

The third proportional to 1,405,948 and 2,128,639 is: 3,222,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,948 : 2,128,639 = 2,128,639 : x
  2. Step 2: Convert to fraction form
    1,405,948/2,128,639 = 2,128,639/x
  3. Step 3: Cross multiply
    1,405,948x = 2,128,639 × 2,128,639
  4. Step 4: Simplify right side
    1,405,948x = 4,531,103,992,321
  5. Step 5: Solve for x
    x = 4,531,103,992,321/1,405,948
  6. Step 6: Final answer
    x = 3,222,810.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.