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Finding the Third Proportional to 581,793 and 898,623

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Solution

The third proportional to 581,793 and 898,623 is: 1,387,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,793 : 898,623 = 898,623 : x
  2. Step 2: Convert to fraction form
    581,793/898,623 = 898,623/x
  3. Step 3: Cross multiply
    581,793x = 898,623 × 898,623
  4. Step 4: Simplify right side
    581,793x = 807,523,296,129
  5. Step 5: Solve for x
    x = 807,523,296,129/581,793
  6. Step 6: Final answer
    x = 1,387,990.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.