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Finding the Third Proportional to 1,650,846 and 2,170,854

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Solution

The third proportional to 1,650,846 and 2,170,854 is: 2,854,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,846 : 2,170,854 = 2,170,854 : x
  2. Step 2: Convert to fraction form
    1,650,846/2,170,854 = 2,170,854/x
  3. Step 3: Cross multiply
    1,650,846x = 2,170,854 × 2,170,854
  4. Step 4: Simplify right side
    1,650,846x = 4,712,607,089,316
  5. Step 5: Solve for x
    x = 4,712,607,089,316/1,650,846
  6. Step 6: Final answer
    x = 2,854,661.85

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.