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Finding the Third Proportional to 814,701.19 and 1,232,537.63

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Solution

The third proportional to 814,701.19 and 1,232,537.63 is: 1,864,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,701.19 : 1,232,537.63 = 1,232,537.63 : x
  2. Step 2: Convert to fraction form
    814,701.19/1,232,537.63 = 1,232,537.63/x
  3. Step 3: Cross multiply
    814,701.19x = 1,232,537.63 × 1,232,537.63
  4. Step 4: Simplify right side
    814,701.19x = 1,519,148,997,040.64
  5. Step 5: Solve for x
    x = 1,519,148,997,040.64/814,701.19
  6. Step 6: Final answer
    x = 1,864,670.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.