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Finding the Third Proportional to 602,171 and 1,298,341

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Solution

The third proportional to 602,171 and 1,298,341 is: 2,799,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,171 : 1,298,341 = 1,298,341 : x
  2. Step 2: Convert to fraction form
    602,171/1,298,341 = 1,298,341/x
  3. Step 3: Cross multiply
    602,171x = 1,298,341 × 1,298,341
  4. Step 4: Simplify right side
    602,171x = 1,685,689,352,281
  5. Step 5: Solve for x
    x = 1,685,689,352,281/602,171
  6. Step 6: Final answer
    x = 2,799,353.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.