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Finding the Third Proportional to 1,402,824 and 2,259,146

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Solution

The third proportional to 1,402,824 and 2,259,146 is: 3,638,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,824 : 2,259,146 = 2,259,146 : x
  2. Step 2: Convert to fraction form
    1,402,824/2,259,146 = 2,259,146/x
  3. Step 3: Cross multiply
    1,402,824x = 2,259,146 × 2,259,146
  4. Step 4: Simplify right side
    1,402,824x = 5,103,740,649,316
  5. Step 5: Solve for x
    x = 5,103,740,649,316/1,402,824
  6. Step 6: Final answer
    x = 3,638,190.29

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.