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Finding the Third Proportional to 2,409,140 and 3,523,071

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Solution

The third proportional to 2,409,140 and 3,523,071 is: 5,152,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,140 : 3,523,071 = 3,523,071 : x
  2. Step 2: Convert to fraction form
    2,409,140/3,523,071 = 3,523,071/x
  3. Step 3: Cross multiply
    2,409,140x = 3,523,071 × 3,523,071
  4. Step 4: Simplify right side
    2,409,140x = 12,412,029,271,041
  5. Step 5: Solve for x
    x = 12,412,029,271,041/2,409,140
  6. Step 6: Final answer
    x = 5,152,058.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.