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Finding the Third Proportional to 1,228,966 and 2,506,725

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Solution

The third proportional to 1,228,966 and 2,506,725 is: 5,112,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,966 : 2,506,725 = 2,506,725 : x
  2. Step 2: Convert to fraction form
    1,228,966/2,506,725 = 2,506,725/x
  3. Step 3: Cross multiply
    1,228,966x = 2,506,725 × 2,506,725
  4. Step 4: Simplify right side
    1,228,966x = 6,283,670,225,625
  5. Step 5: Solve for x
    x = 6,283,670,225,625/1,228,966
  6. Step 6: Final answer
    x = 5,112,973.20

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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.