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Finding the Third Proportional to 972,772 and 1,455,272

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Solution

The third proportional to 972,772 and 1,455,272 is: 2,177,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,772 : 1,455,272 = 1,455,272 : x
  2. Step 2: Convert to fraction form
    972,772/1,455,272 = 1,455,272/x
  3. Step 3: Cross multiply
    972,772x = 1,455,272 × 1,455,272
  4. Step 4: Simplify right side
    972,772x = 2,117,816,593,984
  5. Step 5: Solve for x
    x = 2,117,816,593,984/972,772
  6. Step 6: Final answer
    x = 2,177,094.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.