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Finding the Third Proportional to 2,266,580 and 4,931,914

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Solution

The third proportional to 2,266,580 and 4,931,914 is: 10,731,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,580 : 4,931,914 = 4,931,914 : x
  2. Step 2: Convert to fraction form
    2,266,580/4,931,914 = 4,931,914/x
  3. Step 3: Cross multiply
    2,266,580x = 4,931,914 × 4,931,914
  4. Step 4: Simplify right side
    2,266,580x = 24,323,775,703,396
  5. Step 5: Solve for x
    x = 24,323,775,703,396/2,266,580
  6. Step 6: Final answer
    x = 10,731,487.84

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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.