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Finding the Third Proportional to 822,060 and 1,289,898

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Solution

The third proportional to 822,060 and 1,289,898 is: 2,023,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,060 : 1,289,898 = 1,289,898 : x
  2. Step 2: Convert to fraction form
    822,060/1,289,898 = 1,289,898/x
  3. Step 3: Cross multiply
    822,060x = 1,289,898 × 1,289,898
  4. Step 4: Simplify right side
    822,060x = 1,663,836,850,404
  5. Step 5: Solve for x
    x = 1,663,836,850,404/822,060
  6. Step 6: Final answer
    x = 2,023,984.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.