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Finding the Third Proportional to 684,397.13 and 1,065,277.13

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Solution

The third proportional to 684,397.13 and 1,065,277.13 is: 1,658,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,397.13 : 1,065,277.13 = 1,065,277.13 : x
  2. Step 2: Convert to fraction form
    684,397.13/1,065,277.13 = 1,065,277.13/x
  3. Step 3: Cross multiply
    684,397.13x = 1,065,277.13 × 1,065,277.13
  4. Step 4: Simplify right side
    684,397.13x = 1,134,815,353,048.27
  5. Step 5: Solve for x
    x = 1,134,815,353,048.27/684,397.13
  6. Step 6: Final answer
    x = 1,658,124.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.