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Finding the Third Proportional to 789,984 and 1,699,854

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Solution

The third proportional to 789,984 and 1,699,854 is: 3,657,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,984 : 1,699,854 = 1,699,854 : x
  2. Step 2: Convert to fraction form
    789,984/1,699,854 = 1,699,854/x
  3. Step 3: Cross multiply
    789,984x = 1,699,854 × 1,699,854
  4. Step 4: Simplify right side
    789,984x = 2,889,503,621,316
  5. Step 5: Solve for x
    x = 2,889,503,621,316/789,984
  6. Step 6: Final answer
    x = 3,657,673.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.