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Finding the Third Proportional to 1,253,579 and 2,706,658

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Solution

The third proportional to 1,253,579 and 2,706,658 is: 5,844,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,579 : 2,706,658 = 2,706,658 : x
  2. Step 2: Convert to fraction form
    1,253,579/2,706,658 = 2,706,658/x
  3. Step 3: Cross multiply
    1,253,579x = 2,706,658 × 2,706,658
  4. Step 4: Simplify right side
    1,253,579x = 7,325,997,528,964
  5. Step 5: Solve for x
    x = 7,325,997,528,964/1,253,579
  6. Step 6: Final answer
    x = 5,844,065.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.