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Finding the Third Proportional to 882,912 and 1,905,711

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Solution

The third proportional to 882,912 and 1,905,711 is: 4,113,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,912 : 1,905,711 = 1,905,711 : x
  2. Step 2: Convert to fraction form
    882,912/1,905,711 = 1,905,711/x
  3. Step 3: Cross multiply
    882,912x = 1,905,711 × 1,905,711
  4. Step 4: Simplify right side
    882,912x = 3,631,734,415,521
  5. Step 5: Solve for x
    x = 3,631,734,415,521/882,912
  6. Step 6: Final answer
    x = 4,113,359.45

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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.