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Finding the Third Proportional to 924,420 and 1,986,864

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Solution

The third proportional to 924,420 and 1,986,864 is: 4,270,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,420 : 1,986,864 = 1,986,864 : x
  2. Step 2: Convert to fraction form
    924,420/1,986,864 = 1,986,864/x
  3. Step 3: Cross multiply
    924,420x = 1,986,864 × 1,986,864
  4. Step 4: Simplify right side
    924,420x = 3,947,628,554,496
  5. Step 5: Solve for x
    x = 3,947,628,554,496/924,420
  6. Step 6: Final answer
    x = 4,270,384.19

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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.