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Finding the Third Proportional to 614,832 and 1,346,304

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Solution

The third proportional to 614,832 and 1,346,304 is: 2,948,015.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,832 : 1,346,304 = 1,346,304 : x
  2. Step 2: Convert to fraction form
    614,832/1,346,304 = 1,346,304/x
  3. Step 3: Cross multiply
    614,832x = 1,346,304 × 1,346,304
  4. Step 4: Simplify right side
    614,832x = 1,812,534,460,416
  5. Step 5: Solve for x
    x = 1,812,534,460,416/614,832
  6. Step 6: Final answer
    x = 2,948,015.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.