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Finding the Third Proportional to 575,656 and 1,221,464

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Solution

The third proportional to 575,656 and 1,221,464 is: 2,591,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,656 : 1,221,464 = 1,221,464 : x
  2. Step 2: Convert to fraction form
    575,656/1,221,464 = 1,221,464/x
  3. Step 3: Cross multiply
    575,656x = 1,221,464 × 1,221,464
  4. Step 4: Simplify right side
    575,656x = 1,491,974,303,296
  5. Step 5: Solve for x
    x = 1,491,974,303,296/575,656
  6. Step 6: Final answer
    x = 2,591,781.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.