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Finding the Third Proportional to 881,273 and 1,189,047

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Solution

The third proportional to 881,273 and 1,189,047 is: 1,604,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,273 : 1,189,047 = 1,189,047 : x
  2. Step 2: Convert to fraction form
    881,273/1,189,047 = 1,189,047/x
  3. Step 3: Cross multiply
    881,273x = 1,189,047 × 1,189,047
  4. Step 4: Simplify right side
    881,273x = 1,413,832,768,209
  5. Step 5: Solve for x
    x = 1,413,832,768,209/881,273
  6. Step 6: Final answer
    x = 1,604,307.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.