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Finding the Third Proportional to 999,506.25 and 1,461,773.25

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Solution

The third proportional to 999,506.25 and 1,461,773.25 is: 2,137,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,506.25 : 1,461,773.25 = 1,461,773.25 : x
  2. Step 2: Convert to fraction form
    999,506.25/1,461,773.25 = 1,461,773.25/x
  3. Step 3: Cross multiply
    999,506.25x = 1,461,773.25 × 1,461,773.25
  4. Step 4: Simplify right side
    999,506.25x = 2,136,781,034,415.56
  5. Step 5: Solve for x
    x = 2,136,781,034,415.56/999,506.25
  6. Step 6: Final answer
    x = 2,137,836.59

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Why These Related Problems?

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