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Finding the Third Proportional to 488,466 and 1,059,300

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Solution

The third proportional to 488,466 and 1,059,300 is: 2,297,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,466 : 1,059,300 = 1,059,300 : x
  2. Step 2: Convert to fraction form
    488,466/1,059,300 = 1,059,300/x
  3. Step 3: Cross multiply
    488,466x = 1,059,300 × 1,059,300
  4. Step 4: Simplify right side
    488,466x = 1,122,116,490,000
  5. Step 5: Solve for x
    x = 1,122,116,490,000/488,466
  6. Step 6: Final answer
    x = 2,297,225.37

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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.