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Finding the Third Proportional to 670,323 and 1,461,147

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Solution

The third proportional to 670,323 and 1,461,147 is: 3,184,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,323 : 1,461,147 = 1,461,147 : x
  2. Step 2: Convert to fraction form
    670,323/1,461,147 = 1,461,147/x
  3. Step 3: Cross multiply
    670,323x = 1,461,147 × 1,461,147
  4. Step 4: Simplify right side
    670,323x = 2,134,950,555,609
  5. Step 5: Solve for x
    x = 2,134,950,555,609/670,323
  6. Step 6: Final answer
    x = 3,184,957.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.