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Finding the Third Proportional to 615,842 and 949,043

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Solution

The third proportional to 615,842 and 949,043 is: 1,462,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,842 : 949,043 = 949,043 : x
  2. Step 2: Convert to fraction form
    615,842/949,043 = 949,043/x
  3. Step 3: Cross multiply
    615,842x = 949,043 × 949,043
  4. Step 4: Simplify right side
    615,842x = 900,682,615,849
  5. Step 5: Solve for x
    x = 900,682,615,849/615,842
  6. Step 6: Final answer
    x = 1,462,522.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.