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Finding the Third Proportional to 1,010,314.50 and 2,160,717

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Solution

The third proportional to 1,010,314.50 and 2,160,717 is: 4,621,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,314.50 : 2,160,717 = 2,160,717 : x
  2. Step 2: Convert to fraction form
    1,010,314.50/2,160,717 = 2,160,717/x
  3. Step 3: Cross multiply
    1,010,314.50x = 2,160,717 × 2,160,717
  4. Step 4: Simplify right side
    1,010,314.50x = 4,668,697,954,089
  5. Step 5: Solve for x
    x = 4,668,697,954,089/1,010,314.50
  6. Step 6: Final answer
    x = 4,621,034.30

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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.