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Finding the Third Proportional to 606,315 and 1,010,464.50

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Solution

The third proportional to 606,315 and 1,010,464.50 is: 1,684,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,315 : 1,010,464.50 = 1,010,464.50 : x
  2. Step 2: Convert to fraction form
    606,315/1,010,464.50 = 1,010,464.50/x
  3. Step 3: Cross multiply
    606,315x = 1,010,464.50 × 1,010,464.50
  4. Step 4: Simplify right side
    606,315x = 1,021,038,505,760.25
  5. Step 5: Solve for x
    x = 1,021,038,505,760.25/606,315
  6. Step 6: Final answer
    x = 1,684,006.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.