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Finding the Third Proportional to 632,367 and 1,370,547

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Solution

The third proportional to 632,367 and 1,370,547 is: 2,970,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,367 : 1,370,547 = 1,370,547 : x
  2. Step 2: Convert to fraction form
    632,367/1,370,547 = 1,370,547/x
  3. Step 3: Cross multiply
    632,367x = 1,370,547 × 1,370,547
  4. Step 4: Simplify right side
    632,367x = 1,878,399,079,209
  5. Step 5: Solve for x
    x = 1,878,399,079,209/632,367
  6. Step 6: Final answer
    x = 2,970,425.53

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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.