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Finding the Third Proportional to 416,202 and 895,570

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Solution

The third proportional to 416,202 and 895,570 is: 1,927,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,202 : 895,570 = 895,570 : x
  2. Step 2: Convert to fraction form
    416,202/895,570 = 895,570/x
  3. Step 3: Cross multiply
    416,202x = 895,570 × 895,570
  4. Step 4: Simplify right side
    416,202x = 802,045,624,900
  5. Step 5: Solve for x
    x = 802,045,624,900/416,202
  6. Step 6: Final answer
    x = 1,927,058.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.