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Finding the Third Proportional to 1,010,124 and 2,180,488.50

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Solution

The third proportional to 1,010,124 and 2,180,488.50 is: 4,706,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,124 : 2,180,488.50 = 2,180,488.50 : x
  2. Step 2: Convert to fraction form
    1,010,124/2,180,488.50 = 2,180,488.50/x
  3. Step 3: Cross multiply
    1,010,124x = 2,180,488.50 × 2,180,488.50
  4. Step 4: Simplify right side
    1,010,124x = 4,754,530,098,632.25
  5. Step 5: Solve for x
    x = 4,754,530,098,632.25/1,010,124
  6. Step 6: Final answer
    x = 4,706,877.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.