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Finding the Third Proportional to 591,557 and 887,047

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Solution

The third proportional to 591,557 and 887,047 is: 1,330,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,557 : 887,047 = 887,047 : x
  2. Step 2: Convert to fraction form
    591,557/887,047 = 887,047/x
  3. Step 3: Cross multiply
    591,557x = 887,047 × 887,047
  4. Step 4: Simplify right side
    591,557x = 786,852,380,209
  5. Step 5: Solve for x
    x = 786,852,380,209/591,557
  6. Step 6: Final answer
    x = 1,330,137.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.