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Finding the Third Proportional to 591,219 and 891,972

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Solution

The third proportional to 591,219 and 891,972 is: 1,345,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,219 : 891,972 = 891,972 : x
  2. Step 2: Convert to fraction form
    591,219/891,972 = 891,972/x
  3. Step 3: Cross multiply
    591,219x = 891,972 × 891,972
  4. Step 4: Simplify right side
    591,219x = 795,614,048,784
  5. Step 5: Solve for x
    x = 795,614,048,784/591,219
  6. Step 6: Final answer
    x = 1,345,718.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.