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Finding the Third Proportional to 1,000,083 and 1,588,698

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Solution

The third proportional to 1,000,083 and 1,588,698 is: 2,523,751.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,083 : 1,588,698 = 1,588,698 : x
  2. Step 2: Convert to fraction form
    1,000,083/1,588,698 = 1,588,698/x
  3. Step 3: Cross multiply
    1,000,083x = 1,588,698 × 1,588,698
  4. Step 4: Simplify right side
    1,000,083x = 2,523,961,335,204
  5. Step 5: Solve for x
    x = 2,523,961,335,204/1,000,083
  6. Step 6: Final answer
    x = 2,523,751.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.