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Finding the Third Proportional to 408,544,946 and 611,369,931

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Solution

The third proportional to 408,544,946 and 611,369,931 is: 914,888,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,544,946 : 611,369,931 = 611,369,931 : x
  2. Step 2: Convert to fraction form
    408,544,946/611,369,931 = 611,369,931/x
  3. Step 3: Cross multiply
    408,544,946x = 611,369,931 × 611,369,931
  4. Step 4: Simplify right side
    408,544,946x = 373,773,192,530,944,768
  5. Step 5: Solve for x
    x = 373,773,192,530,944,768/408,544,946
  6. Step 6: Final answer
    x = 914,888,793.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.