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Finding the Third Proportional to 581,787 and 898,614

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Solution

The third proportional to 581,787 and 898,614 is: 1,387,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,787 : 898,614 = 898,614 : x
  2. Step 2: Convert to fraction form
    581,787/898,614 = 898,614/x
  3. Step 3: Cross multiply
    581,787x = 898,614 × 898,614
  4. Step 4: Simplify right side
    581,787x = 807,507,120,996
  5. Step 5: Solve for x
    x = 807,507,120,996/581,787
  6. Step 6: Final answer
    x = 1,387,977.25

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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.