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Finding the Third Proportional to 1,462,106 and 3,260,396

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Solution

The third proportional to 1,462,106 and 3,260,396 is: 7,270,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,106 : 3,260,396 = 3,260,396 : x
  2. Step 2: Convert to fraction form
    1,462,106/3,260,396 = 3,260,396/x
  3. Step 3: Cross multiply
    1,462,106x = 3,260,396 × 3,260,396
  4. Step 4: Simplify right side
    1,462,106x = 10,630,182,076,816
  5. Step 5: Solve for x
    x = 10,630,182,076,816/1,462,106
  6. Step 6: Final answer
    x = 7,270,459.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.