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Finding the Third Proportional to 1,604,784 and 2,358,036

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Solution

The third proportional to 1,604,784 and 2,358,036 is: 3,464,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,784 : 2,358,036 = 2,358,036 : x
  2. Step 2: Convert to fraction form
    1,604,784/2,358,036 = 2,358,036/x
  3. Step 3: Cross multiply
    1,604,784x = 2,358,036 × 2,358,036
  4. Step 4: Simplify right side
    1,604,784x = 5,560,333,777,296
  5. Step 5: Solve for x
    x = 5,560,333,777,296/1,604,784
  6. Step 6: Final answer
    x = 3,464,848.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.