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Finding the Third Proportional to 468,774 and 1,010,556

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Solution

The third proportional to 468,774 and 1,010,556 is: 2,178,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,774 : 1,010,556 = 1,010,556 : x
  2. Step 2: Convert to fraction form
    468,774/1,010,556 = 1,010,556/x
  3. Step 3: Cross multiply
    468,774x = 1,010,556 × 1,010,556
  4. Step 4: Simplify right side
    468,774x = 1,021,223,429,136
  5. Step 5: Solve for x
    x = 1,021,223,429,136/468,774
  6. Step 6: Final answer
    x = 2,178,498.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.