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Finding the Third Proportional to 408,646,398 and 907,992,060

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Solution

The third proportional to 408,646,398 and 907,992,060 is: 2,017,513,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,398 : 907,992,060 = 907,992,060 : x
  2. Step 2: Convert to fraction form
    408,646,398/907,992,060 = 907,992,060/x
  3. Step 3: Cross multiply
    408,646,398x = 907,992,060 × 907,992,060
  4. Step 4: Simplify right side
    408,646,398x = 824,449,581,023,043,584
  5. Step 5: Solve for x
    x = 824,449,581,023,043,584/408,646,398
  6. Step 6: Final answer
    x = 2,017,513,393.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.