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Finding the Third Proportional to 587,176 and 1,127,695

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Solution

The third proportional to 587,176 and 1,127,695 is: 2,165,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,176 : 1,127,695 = 1,127,695 : x
  2. Step 2: Convert to fraction form
    587,176/1,127,695 = 1,127,695/x
  3. Step 3: Cross multiply
    587,176x = 1,127,695 × 1,127,695
  4. Step 4: Simplify right side
    587,176x = 1,271,696,013,025
  5. Step 5: Solve for x
    x = 1,271,696,013,025/587,176
  6. Step 6: Final answer
    x = 2,165,783.36

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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.