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Finding the Third Proportional to 882,549 and 1,905,065

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Solution

The third proportional to 882,549 and 1,905,065 is: 4,112,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,549 : 1,905,065 = 1,905,065 : x
  2. Step 2: Convert to fraction form
    882,549/1,905,065 = 1,905,065/x
  3. Step 3: Cross multiply
    882,549x = 1,905,065 × 1,905,065
  4. Step 4: Simplify right side
    882,549x = 3,629,272,654,225
  5. Step 5: Solve for x
    x = 3,629,272,654,225/882,549
  6. Step 6: Final answer
    x = 4,112,261.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.