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Finding the Third Proportional to 1,029,812.06 and 2,242,701

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Solution

The third proportional to 1,029,812.06 and 2,242,701 is: 4,884,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,812.06 : 2,242,701 = 2,242,701 : x
  2. Step 2: Convert to fraction form
    1,029,812.06/2,242,701 = 2,242,701/x
  3. Step 3: Cross multiply
    1,029,812.06x = 2,242,701 × 2,242,701
  4. Step 4: Simplify right side
    1,029,812.06x = 5,029,707,775,401
  5. Step 5: Solve for x
    x = 5,029,707,775,401/1,029,812.06
  6. Step 6: Final answer
    x = 4,884,102.60

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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.