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Finding the Third Proportional to 1,742,467 and 2,562,418

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Solution

The third proportional to 1,742,467 and 2,562,418 is: 3,768,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,467 : 2,562,418 = 2,562,418 : x
  2. Step 2: Convert to fraction form
    1,742,467/2,562,418 = 2,562,418/x
  3. Step 3: Cross multiply
    1,742,467x = 2,562,418 × 2,562,418
  4. Step 4: Simplify right side
    1,742,467x = 6,565,986,006,724
  5. Step 5: Solve for x
    x = 6,565,986,006,724/1,742,467
  6. Step 6: Final answer
    x = 3,768,212.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.