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Finding the Third Proportional to 632,164 and 1,371,464

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Solution

The third proportional to 632,164 and 1,371,464 is: 2,975,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,164 : 1,371,464 = 1,371,464 : x
  2. Step 2: Convert to fraction form
    632,164/1,371,464 = 1,371,464/x
  3. Step 3: Cross multiply
    632,164x = 1,371,464 × 1,371,464
  4. Step 4: Simplify right side
    632,164x = 1,880,913,503,296
  5. Step 5: Solve for x
    x = 1,880,913,503,296/632,164
  6. Step 6: Final answer
    x = 2,975,356.87

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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.