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Finding the Third Proportional to 683,392 and 1,051,854

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Solution

The third proportional to 683,392 and 1,051,854 is: 1,618,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,392 : 1,051,854 = 1,051,854 : x
  2. Step 2: Convert to fraction form
    683,392/1,051,854 = 1,051,854/x
  3. Step 3: Cross multiply
    683,392x = 1,051,854 × 1,051,854
  4. Step 4: Simplify right side
    683,392x = 1,106,396,837,316
  5. Step 5: Solve for x
    x = 1,106,396,837,316/683,392
  6. Step 6: Final answer
    x = 1,618,978.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.