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Finding the Third Proportional to 2,102,871 and 4,603,776

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Solution

The third proportional to 2,102,871 and 4,603,776 is: 10,078,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,871 : 4,603,776 = 4,603,776 : x
  2. Step 2: Convert to fraction form
    2,102,871/4,603,776 = 4,603,776/x
  3. Step 3: Cross multiply
    2,102,871x = 4,603,776 × 4,603,776
  4. Step 4: Simplify right side
    2,102,871x = 21,194,753,458,176
  5. Step 5: Solve for x
    x = 21,194,753,458,176/2,102,871
  6. Step 6: Final answer
    x = 10,078,960.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.