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Finding the Third Proportional to 499,482 and 1,070,424

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Solution

The third proportional to 499,482 and 1,070,424 is: 2,293,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,482 : 1,070,424 = 1,070,424 : x
  2. Step 2: Convert to fraction form
    499,482/1,070,424 = 1,070,424/x
  3. Step 3: Cross multiply
    499,482x = 1,070,424 × 1,070,424
  4. Step 4: Simplify right side
    499,482x = 1,145,807,539,776
  5. Step 5: Solve for x
    x = 1,145,807,539,776/499,482
  6. Step 6: Final answer
    x = 2,293,991.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.