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Finding the Third Proportional to 2,010,420 and 4,335,768

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Solution

The third proportional to 2,010,420 and 4,335,768 is: 9,350,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,420 : 4,335,768 = 4,335,768 : x
  2. Step 2: Convert to fraction form
    2,010,420/4,335,768 = 4,335,768/x
  3. Step 3: Cross multiply
    2,010,420x = 4,335,768 × 4,335,768
  4. Step 4: Simplify right side
    2,010,420x = 18,798,884,149,824
  5. Step 5: Solve for x
    x = 18,798,884,149,824/2,010,420
  6. Step 6: Final answer
    x = 9,350,724.80

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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.