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Finding the Third Proportional to 1,465,840 and 2,242,352

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Solution

The third proportional to 1,465,840 and 2,242,352 is: 3,430,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,840 : 2,242,352 = 2,242,352 : x
  2. Step 2: Convert to fraction form
    1,465,840/2,242,352 = 2,242,352/x
  3. Step 3: Cross multiply
    1,465,840x = 2,242,352 × 2,242,352
  4. Step 4: Simplify right side
    1,465,840x = 5,028,142,491,904
  5. Step 5: Solve for x
    x = 5,028,142,491,904/1,465,840
  6. Step 6: Final answer
    x = 3,430,212.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.