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Finding the Third Proportional to 602,970 and 1,310,916

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Solution

The third proportional to 602,970 and 1,310,916 is: 2,850,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,970 : 1,310,916 = 1,310,916 : x
  2. Step 2: Convert to fraction form
    602,970/1,310,916 = 1,310,916/x
  3. Step 3: Cross multiply
    602,970x = 1,310,916 × 1,310,916
  4. Step 4: Simplify right side
    602,970x = 1,718,500,759,056
  5. Step 5: Solve for x
    x = 1,718,500,759,056/602,970
  6. Step 6: Final answer
    x = 2,850,060.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.