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Finding the Third Proportional to 615,600 and 1,344,960

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Solution

The third proportional to 615,600 and 1,344,960 is: 2,938,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,600 : 1,344,960 = 1,344,960 : x
  2. Step 2: Convert to fraction form
    615,600/1,344,960 = 1,344,960/x
  3. Step 3: Cross multiply
    615,600x = 1,344,960 × 1,344,960
  4. Step 4: Simplify right side
    615,600x = 1,808,917,401,600
  5. Step 5: Solve for x
    x = 1,808,917,401,600/615,600
  6. Step 6: Final answer
    x = 2,938,462.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.