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Finding the Third Proportional to 408,646,260 and 907,991,784

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Solution

The third proportional to 408,646,260 and 907,991,784 is: 2,017,512,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646,260 : 907,991,784 = 907,991,784 : x
  2. Step 2: Convert to fraction form
    408,646,260/907,991,784 = 907,991,784/x
  3. Step 3: Cross multiply
    408,646,260x = 907,991,784 × 907,991,784
  4. Step 4: Simplify right side
    408,646,260x = 824,449,079,811,502,592
  5. Step 5: Solve for x
    x = 824,449,079,811,502,592/408,646,260
  6. Step 6: Final answer
    x = 2,017,512,847.94

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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.