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Finding the Third Proportional to 787,812.75 and 1,216,657.13

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Solution

The third proportional to 787,812.75 and 1,216,657.13 is: 1,878,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,812.75 : 1,216,657.13 = 1,216,657.13 : x
  2. Step 2: Convert to fraction form
    787,812.75/1,216,657.13 = 1,216,657.13/x
  3. Step 3: Cross multiply
    787,812.75x = 1,216,657.13 × 1,216,657.13
  4. Step 4: Simplify right side
    787,812.75x = 1,480,254,559,813.27
  5. Step 5: Solve for x
    x = 1,480,254,559,813.27/787,812.75
  6. Step 6: Final answer
    x = 1,878,942.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.