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Finding the Third Proportional to 3,174,471 and 4,768,948.50

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Solution

The third proportional to 3,174,471 and 4,768,948.50 is: 7,164,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174,471 : 4,768,948.50 = 4,768,948.50 : x
  2. Step 2: Convert to fraction form
    3,174,471/4,768,948.50 = 4,768,948.50/x
  3. Step 3: Cross multiply
    3,174,471x = 4,768,948.50 × 4,768,948.50
  4. Step 4: Simplify right side
    3,174,471x = 22,742,869,795,652.25
  5. Step 5: Solve for x
    x = 22,742,869,795,652.25/3,174,471
  6. Step 6: Final answer
    x = 7,164,302.27

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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.