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Finding the Third Proportional to 2,130,661 and 4,577,546

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Solution

The third proportional to 2,130,661 and 4,577,546 is: 9,834,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130,661 : 4,577,546 = 4,577,546 : x
  2. Step 2: Convert to fraction form
    2,130,661/4,577,546 = 4,577,546/x
  3. Step 3: Cross multiply
    2,130,661x = 4,577,546 × 4,577,546
  4. Step 4: Simplify right side
    2,130,661x = 20,953,927,382,116
  5. Step 5: Solve for x
    x = 20,953,927,382,116/2,130,661
  6. Step 6: Final answer
    x = 9,834,472.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.