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Finding the Third Proportional to 592,938 and 887,784

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Solution

The third proportional to 592,938 and 887,784 is: 1,329,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,938 : 887,784 = 887,784 : x
  2. Step 2: Convert to fraction form
    592,938/887,784 = 887,784/x
  3. Step 3: Cross multiply
    592,938x = 887,784 × 887,784
  4. Step 4: Simplify right side
    592,938x = 788,160,430,656
  5. Step 5: Solve for x
    x = 788,160,430,656/592,938
  6. Step 6: Final answer
    x = 1,329,245.94

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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.