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Finding the Third Proportional to 699,529 and 1,506,083

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Solution

The third proportional to 699,529 and 1,506,083 is: 3,242,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,529 : 1,506,083 = 1,506,083 : x
  2. Step 2: Convert to fraction form
    699,529/1,506,083 = 1,506,083/x
  3. Step 3: Cross multiply
    699,529x = 1,506,083 × 1,506,083
  4. Step 4: Simplify right side
    699,529x = 2,268,286,002,889
  5. Step 5: Solve for x
    x = 2,268,286,002,889/699,529
  6. Step 6: Final answer
    x = 3,242,590.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.