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Finding the Third Proportional to 653,900 and 999,858

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Solution

The third proportional to 653,900 and 999,858 is: 1,528,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,900 : 999,858 = 999,858 : x
  2. Step 2: Convert to fraction form
    653,900/999,858 = 999,858/x
  3. Step 3: Cross multiply
    653,900x = 999,858 × 999,858
  4. Step 4: Simplify right side
    653,900x = 999,716,020,164
  5. Step 5: Solve for x
    x = 999,716,020,164/653,900
  6. Step 6: Final answer
    x = 1,528,851.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.