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Finding the Third Proportional to 963,408 and 1,500,258

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Solution

The third proportional to 963,408 and 1,500,258 is: 2,336,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,408 : 1,500,258 = 1,500,258 : x
  2. Step 2: Convert to fraction form
    963,408/1,500,258 = 1,500,258/x
  3. Step 3: Cross multiply
    963,408x = 1,500,258 × 1,500,258
  4. Step 4: Simplify right side
    963,408x = 2,250,774,066,564
  5. Step 5: Solve for x
    x = 2,250,774,066,564/963,408
  6. Step 6: Final answer
    x = 2,336,262.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.