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Finding the Third Proportional to 882,924 and 1,905,736

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Solution

The third proportional to 882,924 and 1,905,736 is: 4,113,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,924 : 1,905,736 = 1,905,736 : x
  2. Step 2: Convert to fraction form
    882,924/1,905,736 = 1,905,736/x
  3. Step 3: Cross multiply
    882,924x = 1,905,736 × 1,905,736
  4. Step 4: Simplify right side
    882,924x = 3,631,829,701,696
  5. Step 5: Solve for x
    x = 3,631,829,701,696/882,924
  6. Step 6: Final answer
    x = 4,113,411.46

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