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Finding the Third Proportional to 2,093,580 and 4,534,953

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Solution

The third proportional to 2,093,580 and 4,534,953 is: 9,823,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093,580 : 4,534,953 = 4,534,953 : x
  2. Step 2: Convert to fraction form
    2,093,580/4,534,953 = 4,534,953/x
  3. Step 3: Cross multiply
    2,093,580x = 4,534,953 × 4,534,953
  4. Step 4: Simplify right side
    2,093,580x = 20,565,798,712,209
  5. Step 5: Solve for x
    x = 20,565,798,712,209/2,093,580
  6. Step 6: Final answer
    x = 9,823,268.62

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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.