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Finding the Third Proportional to 642,461.63 and 1,381,811.06

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Solution

The third proportional to 642,461.63 and 1,381,811.06 is: 2,972,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,461.63 : 1,381,811.06 = 1,381,811.06 : x
  2. Step 2: Convert to fraction form
    642,461.63/1,381,811.06 = 1,381,811.06/x
  3. Step 3: Cross multiply
    642,461.63x = 1,381,811.06 × 1,381,811.06
  4. Step 4: Simplify right side
    642,461.63x = 1,909,401,812,447.38
  5. Step 5: Solve for x
    x = 1,909,401,812,447.38/642,461.63
  6. Step 6: Final answer
    x = 2,972,009.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.