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Finding the Third Proportional to 465,685 and 1,006,114

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Solution

The third proportional to 465,685 and 1,006,114 is: 2,173,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,685 : 1,006,114 = 1,006,114 : x
  2. Step 2: Convert to fraction form
    465,685/1,006,114 = 1,006,114/x
  3. Step 3: Cross multiply
    465,685x = 1,006,114 × 1,006,114
  4. Step 4: Simplify right side
    465,685x = 1,012,265,380,996
  5. Step 5: Solve for x
    x = 1,012,265,380,996/465,685
  6. Step 6: Final answer
    x = 2,173,712.66

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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.