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Finding the Third Proportional to 684,825 and 1,064,538

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Solution

The third proportional to 684,825 and 1,064,538 is: 1,654,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,825 : 1,064,538 = 1,064,538 : x
  2. Step 2: Convert to fraction form
    684,825/1,064,538 = 1,064,538/x
  3. Step 3: Cross multiply
    684,825x = 1,064,538 × 1,064,538
  4. Step 4: Simplify right side
    684,825x = 1,133,241,153,444
  5. Step 5: Solve for x
    x = 1,133,241,153,444/684,825
  6. Step 6: Final answer
    x = 1,654,789.40

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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.