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Finding the Third Proportional to 1,011,811.50 and 2,167,069.50

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Solution

The third proportional to 1,011,811.50 and 2,167,069.50 is: 4,641,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,811.50 : 2,167,069.50 = 2,167,069.50 : x
  2. Step 2: Convert to fraction form
    1,011,811.50/2,167,069.50 = 2,167,069.50/x
  3. Step 3: Cross multiply
    1,011,811.50x = 2,167,069.50 × 2,167,069.50
  4. Step 4: Simplify right side
    1,011,811.50x = 4,696,190,217,830.25
  5. Step 5: Solve for x
    x = 4,696,190,217,830.25/1,011,811.50
  6. Step 6: Final answer
    x = 4,641,368.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.