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Finding the Third Proportional to 673,435 and 1,010,121

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Solution

The third proportional to 673,435 and 1,010,121 is: 1,515,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,435 : 1,010,121 = 1,010,121 : x
  2. Step 2: Convert to fraction form
    673,435/1,010,121 = 1,010,121/x
  3. Step 3: Cross multiply
    673,435x = 1,010,121 × 1,010,121
  4. Step 4: Simplify right side
    673,435x = 1,020,344,434,641
  5. Step 5: Solve for x
    x = 1,020,344,434,641/673,435
  6. Step 6: Final answer
    x = 1,515,134.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.