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Finding the Third Proportional to 1,526,098 and 2,361,946

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Solution

The third proportional to 1,526,098 and 2,361,946 is: 3,655,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,098 : 2,361,946 = 2,361,946 : x
  2. Step 2: Convert to fraction form
    1,526,098/2,361,946 = 2,361,946/x
  3. Step 3: Cross multiply
    1,526,098x = 2,361,946 × 2,361,946
  4. Step 4: Simplify right side
    1,526,098x = 5,578,788,906,916
  5. Step 5: Solve for x
    x = 5,578,788,906,916/1,526,098
  6. Step 6: Final answer
    x = 3,655,590.21

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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.