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Finding the Third Proportional to 850,767 and 1,259,734.50

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Solution

The third proportional to 850,767 and 1,259,734.50 is: 1,865,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,767 : 1,259,734.50 = 1,259,734.50 : x
  2. Step 2: Convert to fraction form
    850,767/1,259,734.50 = 1,259,734.50/x
  3. Step 3: Cross multiply
    850,767x = 1,259,734.50 × 1,259,734.50
  4. Step 4: Simplify right side
    850,767x = 1,586,931,010,490.25
  5. Step 5: Solve for x
    x = 1,586,931,010,490.25/850,767
  6. Step 6: Final answer
    x = 1,865,294.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.