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Finding the Third Proportional to 3,174,468 and 4,768,944

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Solution

The third proportional to 3,174,468 and 4,768,944 is: 7,164,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,468 : 4,768,944 = 4,768,944 : x
  2. Step 2: Convert to fraction form
    3,174,468/4,768,944 = 4,768,944/x
  3. Step 3: Cross multiply
    3,174,468x = 4,768,944 × 4,768,944
  4. Step 4: Simplify right side
    3,174,468x = 22,742,826,875,136
  5. Step 5: Solve for x
    x = 22,742,826,875,136/3,174,468
  6. Step 6: Final answer
    x = 7,164,295.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.