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Finding the Third Proportional to 595,827 and 1,405,332

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Solution

The third proportional to 595,827 and 1,405,332 is: 3,314,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,827 : 1,405,332 = 1,405,332 : x
  2. Step 2: Convert to fraction form
    595,827/1,405,332 = 1,405,332/x
  3. Step 3: Cross multiply
    595,827x = 1,405,332 × 1,405,332
  4. Step 4: Simplify right side
    595,827x = 1,974,958,030,224
  5. Step 5: Solve for x
    x = 1,974,958,030,224/595,827
  6. Step 6: Final answer
    x = 3,314,650.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.