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Finding the Third Proportional to 340,730,238 and 741,159,939

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Solution

The third proportional to 340,730,238 and 741,159,939 is: 1,612,178,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,238 : 741,159,939 = 741,159,939 : x
  2. Step 2: Convert to fraction form
    340,730,238/741,159,939 = 741,159,939/x
  3. Step 3: Cross multiply
    340,730,238x = 741,159,939 × 741,159,939
  4. Step 4: Simplify right side
    340,730,238x = 549,318,055,178,483,712
  5. Step 5: Solve for x
    x = 549,318,055,178,483,712/340,730,238
  6. Step 6: Final answer
    x = 1,612,178,767.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.