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Finding the Third Proportional to 1,288,051 and 2,797,537

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Solution

The third proportional to 1,288,051 and 2,797,537 is: 6,076,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,051 : 2,797,537 = 2,797,537 : x
  2. Step 2: Convert to fraction form
    1,288,051/2,797,537 = 2,797,537/x
  3. Step 3: Cross multiply
    1,288,051x = 2,797,537 × 2,797,537
  4. Step 4: Simplify right side
    1,288,051x = 7,826,213,266,369
  5. Step 5: Solve for x
    x = 7,826,213,266,369/1,288,051
  6. Step 6: Final answer
    x = 6,076,011.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.