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Finding the Third Proportional to 1,249,004 and 2,596,183

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Solution

The third proportional to 1,249,004 and 2,596,183 is: 5,396,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,004 : 2,596,183 = 2,596,183 : x
  2. Step 2: Convert to fraction form
    1,249,004/2,596,183 = 2,596,183/x
  3. Step 3: Cross multiply
    1,249,004x = 2,596,183 × 2,596,183
  4. Step 4: Simplify right side
    1,249,004x = 6,740,166,169,489
  5. Step 5: Solve for x
    x = 6,740,166,169,489/1,249,004
  6. Step 6: Final answer
    x = 5,396,432.81

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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.