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Finding the Third Proportional to 2,970,072 and 4,632,498

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Solution

The third proportional to 2,970,072 and 4,632,498 is: 7,225,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970,072 : 4,632,498 = 4,632,498 : x
  2. Step 2: Convert to fraction form
    2,970,072/4,632,498 = 4,632,498/x
  3. Step 3: Cross multiply
    2,970,072x = 4,632,498 × 4,632,498
  4. Step 4: Simplify right side
    2,970,072x = 21,460,037,720,004
  5. Step 5: Solve for x
    x = 21,460,037,720,004/2,970,072
  6. Step 6: Final answer
    x = 7,225,426.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.