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Finding the Third Proportional to 859,598 and 1,163,272

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Solution

The third proportional to 859,598 and 1,163,272 is: 1,574,226.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,598 : 1,163,272 = 1,163,272 : x
  2. Step 2: Convert to fraction form
    859,598/1,163,272 = 1,163,272/x
  3. Step 3: Cross multiply
    859,598x = 1,163,272 × 1,163,272
  4. Step 4: Simplify right side
    859,598x = 1,353,201,745,984
  5. Step 5: Solve for x
    x = 1,353,201,745,984/859,598
  6. Step 6: Final answer
    x = 1,574,226.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.