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Finding the Third Proportional to 614,007 and 1,258,416

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Solution

The third proportional to 614,007 and 1,258,416 is: 2,579,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,007 : 1,258,416 = 1,258,416 : x
  2. Step 2: Convert to fraction form
    614,007/1,258,416 = 1,258,416/x
  3. Step 3: Cross multiply
    614,007x = 1,258,416 × 1,258,416
  4. Step 4: Simplify right side
    614,007x = 1,583,610,829,056
  5. Step 5: Solve for x
    x = 1,583,610,829,056/614,007
  6. Step 6: Final answer
    x = 2,579,141.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.