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Finding the Third Proportional to 1,142,848 and 2,412,928

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Solution

The third proportional to 1,142,848 and 2,412,928 is: 5,094,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,848 : 2,412,928 = 2,412,928 : x
  2. Step 2: Convert to fraction form
    1,142,848/2,412,928 = 2,412,928/x
  3. Step 3: Cross multiply
    1,142,848x = 2,412,928 × 2,412,928
  4. Step 4: Simplify right side
    1,142,848x = 5,822,221,533,184
  5. Step 5: Solve for x
    x = 5,822,221,533,184/1,142,848
  6. Step 6: Final answer
    x = 5,094,484.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.