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Finding the Third Proportional to 516,302 and 1,094,148

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Solution

The third proportional to 516,302 and 1,094,148 is: 2,318,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,302 : 1,094,148 = 1,094,148 : x
  2. Step 2: Convert to fraction form
    516,302/1,094,148 = 1,094,148/x
  3. Step 3: Cross multiply
    516,302x = 1,094,148 × 1,094,148
  4. Step 4: Simplify right side
    516,302x = 1,197,159,845,904
  5. Step 5: Solve for x
    x = 1,197,159,845,904/516,302
  6. Step 6: Final answer
    x = 2,318,720.14

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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.