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Finding the Third Proportional to 877,320 and 1,188,824

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Solution

The third proportional to 877,320 and 1,188,824 is: 1,610,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,320 : 1,188,824 = 1,188,824 : x
  2. Step 2: Convert to fraction form
    877,320/1,188,824 = 1,188,824/x
  3. Step 3: Cross multiply
    877,320x = 1,188,824 × 1,188,824
  4. Step 4: Simplify right side
    877,320x = 1,413,302,502,976
  5. Step 5: Solve for x
    x = 1,413,302,502,976/877,320
  6. Step 6: Final answer
    x = 1,610,931.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.