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Finding the Third Proportional to 673,164 and 1,440,909

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Solution

The third proportional to 673,164 and 1,440,909 is: 3,084,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,164 : 1,440,909 = 1,440,909 : x
  2. Step 2: Convert to fraction form
    673,164/1,440,909 = 1,440,909/x
  3. Step 3: Cross multiply
    673,164x = 1,440,909 × 1,440,909
  4. Step 4: Simplify right side
    673,164x = 2,076,218,746,281
  5. Step 5: Solve for x
    x = 2,076,218,746,281/673,164
  6. Step 6: Final answer
    x = 3,084,268.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.