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Finding the Third Proportional to 730,974 and 1,125,007

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Solution

The third proportional to 730,974 and 1,125,007 is: 1,731,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,974 : 1,125,007 = 1,125,007 : x
  2. Step 2: Convert to fraction form
    730,974/1,125,007 = 1,125,007/x
  3. Step 3: Cross multiply
    730,974x = 1,125,007 × 1,125,007
  4. Step 4: Simplify right side
    730,974x = 1,265,640,750,049
  5. Step 5: Solve for x
    x = 1,265,640,750,049/730,974
  6. Step 6: Final answer
    x = 1,731,444.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.