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Finding the Third Proportional to 587,174 and 1,127,692

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Solution

The third proportional to 587,174 and 1,127,692 is: 2,165,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,174 : 1,127,692 = 1,127,692 : x
  2. Step 2: Convert to fraction form
    587,174/1,127,692 = 1,127,692/x
  3. Step 3: Cross multiply
    587,174x = 1,127,692 × 1,127,692
  4. Step 4: Simplify right side
    587,174x = 1,271,689,246,864
  5. Step 5: Solve for x
    x = 1,271,689,246,864/587,174
  6. Step 6: Final answer
    x = 2,165,779.22

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.