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Finding the Third Proportional to 2,046,345 and 3,410,365.50

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Solution

The third proportional to 2,046,345 and 3,410,365.50 is: 5,683,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,345 : 3,410,365.50 = 3,410,365.50 : x
  2. Step 2: Convert to fraction form
    2,046,345/3,410,365.50 = 3,410,365.50/x
  3. Step 3: Cross multiply
    2,046,345x = 3,410,365.50 × 3,410,365.50
  4. Step 4: Simplify right side
    2,046,345x = 11,630,592,843,590.25
  5. Step 5: Solve for x
    x = 11,630,592,843,590.25/2,046,345
  6. Step 6: Final answer
    x = 5,683,593.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.