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Finding the Third Proportional to 426,336.75 and 911,746.13

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Solution

The third proportional to 426,336.75 and 911,746.13 is: 1,949,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,336.75 : 911,746.13 = 911,746.13 : x
  2. Step 2: Convert to fraction form
    426,336.75/911,746.13 = 911,746.13/x
  3. Step 3: Cross multiply
    426,336.75x = 911,746.13 × 911,746.13
  4. Step 4: Simplify right side
    426,336.75x = 831,280,996,452.52
  5. Step 5: Solve for x
    x = 831,280,996,452.52/426,336.75
  6. Step 6: Final answer
    x = 1,949,822.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.