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Finding the Third Proportional to 1,010,957.50 and 2,164,069.50

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Solution

The third proportional to 1,010,957.50 and 2,164,069.50 is: 4,632,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,957.50 : 2,164,069.50 = 2,164,069.50 : x
  2. Step 2: Convert to fraction form
    1,010,957.50/2,164,069.50 = 2,164,069.50/x
  3. Step 3: Cross multiply
    1,010,957.50x = 2,164,069.50 × 2,164,069.50
  4. Step 4: Simplify right side
    1,010,957.50x = 4,683,196,800,830.25
  5. Step 5: Solve for x
    x = 4,683,196,800,830.25/1,010,957.50
  6. Step 6: Final answer
    x = 4,632,436.87

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