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Finding the Third Proportional to 1,973,943 and 2,975,508

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Solution

The third proportional to 1,973,943 and 2,975,508 is: 4,485,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,943 : 2,975,508 = 2,975,508 : x
  2. Step 2: Convert to fraction form
    1,973,943/2,975,508 = 2,975,508/x
  3. Step 3: Cross multiply
    1,973,943x = 2,975,508 × 2,975,508
  4. Step 4: Simplify right side
    1,973,943x = 8,853,647,858,064
  5. Step 5: Solve for x
    x = 8,853,647,858,064/1,973,943
  6. Step 6: Final answer
    x = 4,485,260.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.