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Finding the Third Proportional to 1,249,132 and 2,596,398

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Solution

The third proportional to 1,249,132 and 2,596,398 is: 5,396,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,132 : 2,596,398 = 2,596,398 : x
  2. Step 2: Convert to fraction form
    1,249,132/2,596,398 = 2,596,398/x
  3. Step 3: Cross multiply
    1,249,132x = 2,596,398 × 2,596,398
  4. Step 4: Simplify right side
    1,249,132x = 6,741,282,574,404
  5. Step 5: Solve for x
    x = 6,741,282,574,404/1,249,132
  6. Step 6: Final answer
    x = 5,396,773.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.