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Finding the Third Proportional to 940,224 and 1,370,952

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Solution

The third proportional to 940,224 and 1,370,952 is: 1,999,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,224 : 1,370,952 = 1,370,952 : x
  2. Step 2: Convert to fraction form
    940,224/1,370,952 = 1,370,952/x
  3. Step 3: Cross multiply
    940,224x = 1,370,952 × 1,370,952
  4. Step 4: Simplify right side
    940,224x = 1,879,509,386,304
  5. Step 5: Solve for x
    x = 1,879,509,386,304/940,224
  6. Step 6: Final answer
    x = 1,999,001.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.