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Finding the Third Proportional to 700,968 and 1,524,952

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Solution

The third proportional to 700,968 and 1,524,952 is: 3,317,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,968 : 1,524,952 = 1,524,952 : x
  2. Step 2: Convert to fraction form
    700,968/1,524,952 = 1,524,952/x
  3. Step 3: Cross multiply
    700,968x = 1,524,952 × 1,524,952
  4. Step 4: Simplify right side
    700,968x = 2,325,478,602,304
  5. Step 5: Solve for x
    x = 2,325,478,602,304/700,968
  6. Step 6: Final answer
    x = 3,317,524.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.