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Finding the Third Proportional to 685,681 and 1,045,925

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Solution

The third proportional to 685,681 and 1,045,925 is: 1,595,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,681 : 1,045,925 = 1,045,925 : x
  2. Step 2: Convert to fraction form
    685,681/1,045,925 = 1,045,925/x
  3. Step 3: Cross multiply
    685,681x = 1,045,925 × 1,045,925
  4. Step 4: Simplify right side
    685,681x = 1,093,959,105,625
  5. Step 5: Solve for x
    x = 1,093,959,105,625/685,681
  6. Step 6: Final answer
    x = 1,595,434.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.