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Finding the Third Proportional to 789,697.90 and 1,154,931.12

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Solution

The third proportional to 789,697.90 and 1,154,931.12 is: 1,689,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,697.90 : 1,154,931.12 = 1,154,931.12 : x
  2. Step 2: Convert to fraction form
    789,697.90/1,154,931.12 = 1,154,931.12/x
  3. Step 3: Cross multiply
    789,697.90x = 1,154,931.12 × 1,154,931.12
  4. Step 4: Simplify right side
    789,697.90x = 1,333,865,885,447.97
  5. Step 5: Solve for x
    x = 1,333,865,885,447.97/789,697.90
  6. Step 6: Final answer
    x = 1,689,083.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.