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Finding the Third Proportional to 970,988 and 1,486,048

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Solution

The third proportional to 970,988 and 1,486,048 is: 2,274,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,988 : 1,486,048 = 1,486,048 : x
  2. Step 2: Convert to fraction form
    970,988/1,486,048 = 1,486,048/x
  3. Step 3: Cross multiply
    970,988x = 1,486,048 × 1,486,048
  4. Step 4: Simplify right side
    970,988x = 2,208,338,658,304
  5. Step 5: Solve for x
    x = 2,208,338,658,304/970,988
  6. Step 6: Final answer
    x = 2,274,321.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.