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Finding the Third Proportional to 1,287,153 and 1,748,114

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Solution

The third proportional to 1,287,153 and 1,748,114 is: 2,374,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,153 : 1,748,114 = 1,748,114 : x
  2. Step 2: Convert to fraction form
    1,287,153/1,748,114 = 1,748,114/x
  3. Step 3: Cross multiply
    1,287,153x = 1,748,114 × 1,748,114
  4. Step 4: Simplify right side
    1,287,153x = 3,055,902,556,996
  5. Step 5: Solve for x
    x = 3,055,902,556,996/1,287,153
  6. Step 6: Final answer
    x = 2,374,156.42

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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.