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Finding the Third Proportional to 2,128,488 and 4,533,024

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Solution

The third proportional to 2,128,488 and 4,533,024 is: 9,653,945.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,488 : 4,533,024 = 4,533,024 : x
  2. Step 2: Convert to fraction form
    2,128,488/4,533,024 = 4,533,024/x
  3. Step 3: Cross multiply
    2,128,488x = 4,533,024 × 4,533,024
  4. Step 4: Simplify right side
    2,128,488x = 20,548,306,584,576
  5. Step 5: Solve for x
    x = 20,548,306,584,576/2,128,488
  6. Step 6: Final answer
    x = 9,653,945.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.