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Finding the Third Proportional to 673,732 and 1,017,617

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Solution

The third proportional to 673,732 and 1,017,617 is: 1,537,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,732 : 1,017,617 = 1,017,617 : x
  2. Step 2: Convert to fraction form
    673,732/1,017,617 = 1,017,617/x
  3. Step 3: Cross multiply
    673,732x = 1,017,617 × 1,017,617
  4. Step 4: Simplify right side
    673,732x = 1,035,544,358,689
  5. Step 5: Solve for x
    x = 1,035,544,358,689/673,732
  6. Step 6: Final answer
    x = 1,537,027.12

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Why These Related Problems?

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