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Finding the Third Proportional to 684,865.13 and 1,064,599.88

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Solution

The third proportional to 684,865.13 and 1,064,599.88 is: 1,654,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,865.13 : 1,064,599.88 = 1,064,599.88 : x
  2. Step 2: Convert to fraction form
    684,865.13/1,064,599.88 = 1,064,599.88/x
  3. Step 3: Cross multiply
    684,865.13x = 1,064,599.88 × 1,064,599.88
  4. Step 4: Simplify right side
    684,865.13x = 1,133,372,893,850.02
  5. Step 5: Solve for x
    x = 1,133,372,893,850.02/684,865.13
  6. Step 6: Final answer
    x = 1,654,884.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.