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Finding the Third Proportional to 851,430 and 1,280,731.50

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Solution

The third proportional to 851,430 and 1,280,731.50 is: 1,926,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,430 : 1,280,731.50 = 1,280,731.50 : x
  2. Step 2: Convert to fraction form
    851,430/1,280,731.50 = 1,280,731.50/x
  3. Step 3: Cross multiply
    851,430x = 1,280,731.50 × 1,280,731.50
  4. Step 4: Simplify right side
    851,430x = 1,640,273,175,092.25
  5. Step 5: Solve for x
    x = 1,640,273,175,092.25/851,430
  6. Step 6: Final answer
    x = 1,926,492.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.