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Finding the Third Proportional to 1,634,509.13 and 3,481,840.69

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Solution

The third proportional to 1,634,509.13 and 3,481,840.69 is: 7,417,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634,509.13 : 3,481,840.69 = 3,481,840.69 : x
  2. Step 2: Convert to fraction form
    1,634,509.13/3,481,840.69 = 3,481,840.69/x
  3. Step 3: Cross multiply
    1,634,509.13x = 3,481,840.69 × 3,481,840.69
  4. Step 4: Simplify right side
    1,634,509.13x = 12,123,214,573,130.47
  5. Step 5: Solve for x
    x = 12,123,214,573,130.47/1,634,509.13
  6. Step 6: Final answer
    x = 7,417,036.95

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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.