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Finding the Third Proportional to 673,713 and 1,440,774

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Solution

The third proportional to 673,713 and 1,440,774 is: 3,081,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,713 : 1,440,774 = 1,440,774 : x
  2. Step 2: Convert to fraction form
    673,713/1,440,774 = 1,440,774/x
  3. Step 3: Cross multiply
    673,713x = 1,440,774 × 1,440,774
  4. Step 4: Simplify right side
    673,713x = 2,075,829,719,076
  5. Step 5: Solve for x
    x = 2,075,829,719,076/673,713
  6. Step 6: Final answer
    x = 3,081,178.07

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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.