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Finding the Third Proportional to 832,692 and 1,317,240

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Solution

The third proportional to 832,692 and 1,317,240 is: 2,083,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,692 : 1,317,240 = 1,317,240 : x
  2. Step 2: Convert to fraction form
    832,692/1,317,240 = 1,317,240/x
  3. Step 3: Cross multiply
    832,692x = 1,317,240 × 1,317,240
  4. Step 4: Simplify right side
    832,692x = 1,735,121,217,600
  5. Step 5: Solve for x
    x = 1,735,121,217,600/832,692
  6. Step 6: Final answer
    x = 2,083,749.11

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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.