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Finding the Third Proportional to 1,048,506 and 2,141,022

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Solution

The third proportional to 1,048,506 and 2,141,022 is: 4,371,911.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,506 : 2,141,022 = 2,141,022 : x
  2. Step 2: Convert to fraction form
    1,048,506/2,141,022 = 2,141,022/x
  3. Step 3: Cross multiply
    1,048,506x = 2,141,022 × 2,141,022
  4. Step 4: Simplify right side
    1,048,506x = 4,583,975,204,484
  5. Step 5: Solve for x
    x = 4,583,975,204,484/1,048,506
  6. Step 6: Final answer
    x = 4,371,911.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.