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Finding the Third Proportional to 923,281 and 2,083,633

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Solution

The third proportional to 923,281 and 2,083,633 is: 4,702,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,281 : 2,083,633 = 2,083,633 : x
  2. Step 2: Convert to fraction form
    923,281/2,083,633 = 2,083,633/x
  3. Step 3: Cross multiply
    923,281x = 2,083,633 × 2,083,633
  4. Step 4: Simplify right side
    923,281x = 4,341,526,478,689
  5. Step 5: Solve for x
    x = 4,341,526,478,689/923,281
  6. Step 6: Final answer
    x = 4,702,280.76

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.