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Finding the Third Proportional to 1,306,862 and 2,772,340

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Solution

The third proportional to 1,306,862 and 2,772,340 is: 5,881,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,862 : 2,772,340 = 2,772,340 : x
  2. Step 2: Convert to fraction form
    1,306,862/2,772,340 = 2,772,340/x
  3. Step 3: Cross multiply
    1,306,862x = 2,772,340 × 2,772,340
  4. Step 4: Simplify right side
    1,306,862x = 7,685,869,075,600
  5. Step 5: Solve for x
    x = 7,685,869,075,600/1,306,862
  6. Step 6: Final answer
    x = 5,881,163.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.