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Finding the Third Proportional to 962,907.75 and 1,490,170.50

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Solution

The third proportional to 962,907.75 and 1,490,170.50 is: 2,306,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,907.75 : 1,490,170.50 = 1,490,170.50 : x
  2. Step 2: Convert to fraction form
    962,907.75/1,490,170.50 = 1,490,170.50/x
  3. Step 3: Cross multiply
    962,907.75x = 1,490,170.50 × 1,490,170.50
  4. Step 4: Simplify right side
    962,907.75x = 2,220,608,119,070.25
  5. Step 5: Solve for x
    x = 2,220,608,119,070.25/962,907.75
  6. Step 6: Final answer
    x = 2,306,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.