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Finding the Third Proportional to 715,430 and 1,516,153

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Solution

The third proportional to 715,430 and 1,516,153 is: 3,213,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,430 : 1,516,153 = 1,516,153 : x
  2. Step 2: Convert to fraction form
    715,430/1,516,153 = 1,516,153/x
  3. Step 3: Cross multiply
    715,430x = 1,516,153 × 1,516,153
  4. Step 4: Simplify right side
    715,430x = 2,298,719,919,409
  5. Step 5: Solve for x
    x = 2,298,719,919,409/715,430
  6. Step 6: Final answer
    x = 3,213,060.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.