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Finding the Third Proportional to 864,873 and 1,318,633

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Solution

The third proportional to 864,873 and 1,318,633 is: 2,010,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,873 : 1,318,633 = 1,318,633 : x
  2. Step 2: Convert to fraction form
    864,873/1,318,633 = 1,318,633/x
  3. Step 3: Cross multiply
    864,873x = 1,318,633 × 1,318,633
  4. Step 4: Simplify right side
    864,873x = 1,738,792,988,689
  5. Step 5: Solve for x
    x = 1,738,792,988,689/864,873
  6. Step 6: Final answer
    x = 2,010,460.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.