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Finding the Third Proportional to 686,347.88 and 1,043,515.69

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Solution

The third proportional to 686,347.88 and 1,043,515.69 is: 1,586,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,347.88 : 1,043,515.69 = 1,043,515.69 : x
  2. Step 2: Convert to fraction form
    686,347.88/1,043,515.69 = 1,043,515.69/x
  3. Step 3: Cross multiply
    686,347.88x = 1,043,515.69 × 1,043,515.69
  4. Step 4: Simplify right side
    686,347.88x = 1,088,924,990,058.60
  5. Step 5: Solve for x
    x = 1,088,924,990,058.60/686,347.88
  6. Step 6: Final answer
    x = 1,586,549.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.