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Finding the Third Proportional to 2,134,683.50 and 4,648,230.50

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Solution

The third proportional to 2,134,683.50 and 4,648,230.50 is: 10,121,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,683.50 : 4,648,230.50 = 4,648,230.50 : x
  2. Step 2: Convert to fraction form
    2,134,683.50/4,648,230.50 = 4,648,230.50/x
  3. Step 3: Cross multiply
    2,134,683.50x = 4,648,230.50 × 4,648,230.50
  4. Step 4: Simplify right side
    2,134,683.50x = 21,606,046,781,130.25
  5. Step 5: Solve for x
    x = 21,606,046,781,130.25/2,134,683.50
  6. Step 6: Final answer
    x = 10,121,428.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.