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Finding the Third Proportional to 612,167 and 1,298,440

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Solution

The third proportional to 612,167 and 1,298,440 is: 2,754,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,167 : 1,298,440 = 1,298,440 : x
  2. Step 2: Convert to fraction form
    612,167/1,298,440 = 1,298,440/x
  3. Step 3: Cross multiply
    612,167x = 1,298,440 × 1,298,440
  4. Step 4: Simplify right side
    612,167x = 1,685,946,433,600
  5. Step 5: Solve for x
    x = 1,685,946,433,600/612,167
  6. Step 6: Final answer
    x = 2,754,062.92

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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.