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Finding the Third Proportional to 1,228,964 and 2,506,721

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Solution

The third proportional to 1,228,964 and 2,506,721 is: 5,112,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,964 : 2,506,721 = 2,506,721 : x
  2. Step 2: Convert to fraction form
    1,228,964/2,506,721 = 2,506,721/x
  3. Step 3: Cross multiply
    1,228,964x = 2,506,721 × 2,506,721
  4. Step 4: Simplify right side
    1,228,964x = 6,283,650,171,841
  5. Step 5: Solve for x
    x = 6,283,650,171,841/1,228,964
  6. Step 6: Final answer
    x = 5,112,965.21

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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.