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Finding the Third Proportional to 595,953 and 1,293,495.75

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Solution

The third proportional to 595,953 and 1,293,495.75 is: 2,807,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,953 : 1,293,495.75 = 1,293,495.75 : x
  2. Step 2: Convert to fraction form
    595,953/1,293,495.75 = 1,293,495.75/x
  3. Step 3: Cross multiply
    595,953x = 1,293,495.75 × 1,293,495.75
  4. Step 4: Simplify right side
    595,953x = 1,673,131,255,268.06
  5. Step 5: Solve for x
    x = 1,673,131,255,268.06/595,953
  6. Step 6: Final answer
    x = 2,807,488.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.