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Finding the Third Proportional to 872,406 and 1,279,854

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Solution

The third proportional to 872,406 and 1,279,854 is: 1,877,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,406 : 1,279,854 = 1,279,854 : x
  2. Step 2: Convert to fraction form
    872,406/1,279,854 = 1,279,854/x
  3. Step 3: Cross multiply
    872,406x = 1,279,854 × 1,279,854
  4. Step 4: Simplify right side
    872,406x = 1,638,026,261,316
  5. Step 5: Solve for x
    x = 1,638,026,261,316/872,406
  6. Step 6: Final answer
    x = 1,877,596.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.