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Finding the Third Proportional to 595,422 and 1,404,423

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Solution

The third proportional to 595,422 and 1,404,423 is: 3,312,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,422 : 1,404,423 = 1,404,423 : x
  2. Step 2: Convert to fraction form
    595,422/1,404,423 = 1,404,423/x
  3. Step 3: Cross multiply
    595,422x = 1,404,423 × 1,404,423
  4. Step 4: Simplify right side
    595,422x = 1,972,403,962,929
  5. Step 5: Solve for x
    x = 1,972,403,962,929/595,422
  6. Step 6: Final answer
    x = 3,312,615.19

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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.