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Finding the Third Proportional to 588,862 and 1,277,300

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Solution

The third proportional to 588,862 and 1,277,300 is: 2,770,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,862 : 1,277,300 = 1,277,300 : x
  2. Step 2: Convert to fraction form
    588,862/1,277,300 = 1,277,300/x
  3. Step 3: Cross multiply
    588,862x = 1,277,300 × 1,277,300
  4. Step 4: Simplify right side
    588,862x = 1,631,495,290,000
  5. Step 5: Solve for x
    x = 1,631,495,290,000/588,862
  6. Step 6: Final answer
    x = 2,770,590.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.