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Finding the Third Proportional to 832,680 and 1,317,222

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Solution

The third proportional to 832,680 and 1,317,222 is: 2,083,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,680 : 1,317,222 = 1,317,222 : x
  2. Step 2: Convert to fraction form
    832,680/1,317,222 = 1,317,222/x
  3. Step 3: Cross multiply
    832,680x = 1,317,222 × 1,317,222
  4. Step 4: Simplify right side
    832,680x = 1,735,073,797,284
  5. Step 5: Solve for x
    x = 1,735,073,797,284/832,680
  6. Step 6: Final answer
    x = 2,083,722.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.