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Finding the Third Proportional to 833,737.50 and 1,706,787

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Solution

The third proportional to 833,737.50 and 1,706,787 is: 3,494,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,737.50 : 1,706,787 = 1,706,787 : x
  2. Step 2: Convert to fraction form
    833,737.50/1,706,787 = 1,706,787/x
  3. Step 3: Cross multiply
    833,737.50x = 1,706,787 × 1,706,787
  4. Step 4: Simplify right side
    833,737.50x = 2,913,121,863,369
  5. Step 5: Solve for x
    x = 2,913,121,863,369/833,737.50
  6. Step 6: Final answer
    x = 3,494,051.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.