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Finding the Third Proportional to 2,569,260 and 5,596,088

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Solution

The third proportional to 2,569,260 and 5,596,088 is: 12,188,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,260 : 5,596,088 = 5,596,088 : x
  2. Step 2: Convert to fraction form
    2,569,260/5,596,088 = 5,596,088/x
  3. Step 3: Cross multiply
    2,569,260x = 5,596,088 × 5,596,088
  4. Step 4: Simplify right side
    2,569,260x = 31,316,200,903,744
  5. Step 5: Solve for x
    x = 31,316,200,903,744/2,569,260
  6. Step 6: Final answer
    x = 12,188,801.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.