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Finding the Third Proportional to 673,684 and 1,440,716

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Solution

The third proportional to 673,684 and 1,440,716 is: 3,081,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,684 : 1,440,716 = 1,440,716 : x
  2. Step 2: Convert to fraction form
    673,684/1,440,716 = 1,440,716/x
  3. Step 3: Cross multiply
    673,684x = 1,440,716 × 1,440,716
  4. Step 4: Simplify right side
    673,684x = 2,075,662,592,656
  5. Step 5: Solve for x
    x = 2,075,662,592,656/673,684
  6. Step 6: Final answer
    x = 3,081,062.62

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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.