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Finding the Third Proportional to 2,256,049 and 4,871,623

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Solution

The third proportional to 2,256,049 and 4,871,623 is: 10,519,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,049 : 4,871,623 = 4,871,623 : x
  2. Step 2: Convert to fraction form
    2,256,049/4,871,623 = 4,871,623/x
  3. Step 3: Cross multiply
    2,256,049x = 4,871,623 × 4,871,623
  4. Step 4: Simplify right side
    2,256,049x = 23,732,710,654,129
  5. Step 5: Solve for x
    x = 23,732,710,654,129/2,256,049
  6. Step 6: Final answer
    x = 10,519,590.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.