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Finding the Third Proportional to 972,460 and 2,100,440

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Solution

The third proportional to 972,460 and 2,100,440 is: 4,536,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,460 : 2,100,440 = 2,100,440 : x
  2. Step 2: Convert to fraction form
    972,460/2,100,440 = 2,100,440/x
  3. Step 3: Cross multiply
    972,460x = 2,100,440 × 2,100,440
  4. Step 4: Simplify right side
    972,460x = 4,411,848,193,600
  5. Step 5: Solve for x
    x = 4,411,848,193,600/972,460
  6. Step 6: Final answer
    x = 4,536,791.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.