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Finding the Third Proportional to 615,606 and 945,603

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Solution

The third proportional to 615,606 and 945,603 is: 1,452,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,606 : 945,603 = 945,603 : x
  2. Step 2: Convert to fraction form
    615,606/945,603 = 945,603/x
  3. Step 3: Cross multiply
    615,606x = 945,603 × 945,603
  4. Step 4: Simplify right side
    615,606x = 894,165,033,609
  5. Step 5: Solve for x
    x = 894,165,033,609/615,606
  6. Step 6: Final answer
    x = 1,452,495.64

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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.