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Finding the Third Proportional to 945,210 and 1,435,290

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Solution

The third proportional to 945,210 and 1,435,290 is: 2,179,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,210 : 1,435,290 = 1,435,290 : x
  2. Step 2: Convert to fraction form
    945,210/1,435,290 = 1,435,290/x
  3. Step 3: Cross multiply
    945,210x = 1,435,290 × 1,435,290
  4. Step 4: Simplify right side
    945,210x = 2,060,057,384,100
  5. Step 5: Solve for x
    x = 2,060,057,384,100/945,210
  6. Step 6: Final answer
    x = 2,179,470.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.