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Finding the Third Proportional to 571,924 and 1,232,492

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Solution

The third proportional to 571,924 and 1,232,492 is: 2,656,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,924 : 1,232,492 = 1,232,492 : x
  2. Step 2: Convert to fraction form
    571,924/1,232,492 = 1,232,492/x
  3. Step 3: Cross multiply
    571,924x = 1,232,492 × 1,232,492
  4. Step 4: Simplify right side
    571,924x = 1,519,036,530,064
  5. Step 5: Solve for x
    x = 1,519,036,530,064/571,924
  6. Step 6: Final answer
    x = 2,656,011.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.