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Finding the Third Proportional to 673,819 and 1,017,731

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Solution

The third proportional to 673,819 and 1,017,731 is: 1,537,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,819 : 1,017,731 = 1,017,731 : x
  2. Step 2: Convert to fraction form
    673,819/1,017,731 = 1,017,731/x
  3. Step 3: Cross multiply
    673,819x = 1,017,731 × 1,017,731
  4. Step 4: Simplify right side
    673,819x = 1,035,776,388,361
  5. Step 5: Solve for x
    x = 1,035,776,388,361/673,819
  6. Step 6: Final answer
    x = 1,537,173.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.