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Finding the Third Proportional to 539,346 and 1,172,820

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Solution

The third proportional to 539,346 and 1,172,820 is: 2,550,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,346 : 1,172,820 = 1,172,820 : x
  2. Step 2: Convert to fraction form
    539,346/1,172,820 = 1,172,820/x
  3. Step 3: Cross multiply
    539,346x = 1,172,820 × 1,172,820
  4. Step 4: Simplify right side
    539,346x = 1,375,506,752,400
  5. Step 5: Solve for x
    x = 1,375,506,752,400/539,346
  6. Step 6: Final answer
    x = 2,550,323.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.