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Finding the Third Proportional to 649,746 and 999,992

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Solution

The third proportional to 649,746 and 999,992 is: 1,539,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,746 : 999,992 = 999,992 : x
  2. Step 2: Convert to fraction form
    649,746/999,992 = 999,992/x
  3. Step 3: Cross multiply
    649,746x = 999,992 × 999,992
  4. Step 4: Simplify right side
    649,746x = 999,984,000,064
  5. Step 5: Solve for x
    x = 999,984,000,064/649,746
  6. Step 6: Final answer
    x = 1,539,038.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.