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Finding the Third Proportional to 613,946 and 1,258,321

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Solution

The third proportional to 613,946 and 1,258,321 is: 2,579,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,946 : 1,258,321 = 1,258,321 : x
  2. Step 2: Convert to fraction form
    613,946/1,258,321 = 1,258,321/x
  3. Step 3: Cross multiply
    613,946x = 1,258,321 × 1,258,321
  4. Step 4: Simplify right side
    613,946x = 1,583,371,739,041
  5. Step 5: Solve for x
    x = 1,583,371,739,041/613,946
  6. Step 6: Final answer
    x = 2,579,008.15

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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.