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Finding the Third Proportional to 1,223,649 and 2,624,445

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Solution

The third proportional to 1,223,649 and 2,624,445 is: 5,628,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,649 : 2,624,445 = 2,624,445 : x
  2. Step 2: Convert to fraction form
    1,223,649/2,624,445 = 2,624,445/x
  3. Step 3: Cross multiply
    1,223,649x = 2,624,445 × 2,624,445
  4. Step 4: Simplify right side
    1,223,649x = 6,887,711,558,025
  5. Step 5: Solve for x
    x = 6,887,711,558,025/1,223,649
  6. Step 6: Final answer
    x = 5,628,829.47

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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.