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Finding the Third Proportional to 786,461.91 and 1,684,916.44

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Solution

The third proportional to 786,461.91 and 1,684,916.44 is: 3,609,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,461.91 : 1,684,916.44 = 1,684,916.44 : x
  2. Step 2: Convert to fraction form
    786,461.91/1,684,916.44 = 1,684,916.44/x
  3. Step 3: Cross multiply
    786,461.91x = 1,684,916.44 × 1,684,916.44
  4. Step 4: Simplify right side
    786,461.91x = 2,838,943,401,357.69
  5. Step 5: Solve for x
    x = 2,838,943,401,357.69/786,461.91
  6. Step 6: Final answer
    x = 3,609,765.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.