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Finding the Third Proportional to 813,684.50 and 1,772,023

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Solution

The third proportional to 813,684.50 and 1,772,023 is: 3,859,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,684.50 : 1,772,023 = 1,772,023 : x
  2. Step 2: Convert to fraction form
    813,684.50/1,772,023 = 1,772,023/x
  3. Step 3: Cross multiply
    813,684.50x = 1,772,023 × 1,772,023
  4. Step 4: Simplify right side
    813,684.50x = 3,140,065,512,529
  5. Step 5: Solve for x
    x = 3,140,065,512,529/813,684.50
  6. Step 6: Final answer
    x = 3,859,070.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.