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Finding the Third Proportional to 682,559 and 1,010,408

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Solution

The third proportional to 682,559 and 1,010,408 is: 1,495,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,559 : 1,010,408 = 1,010,408 : x
  2. Step 2: Convert to fraction form
    682,559/1,010,408 = 1,010,408/x
  3. Step 3: Cross multiply
    682,559x = 1,010,408 × 1,010,408
  4. Step 4: Simplify right side
    682,559x = 1,020,924,326,464
  5. Step 5: Solve for x
    x = 1,020,924,326,464/682,559
  6. Step 6: Final answer
    x = 1,495,730.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.