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Finding the Third Proportional to 419,872,458 and 916,153,844

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Solution

The third proportional to 419,872,458 and 916,153,844 is: 1,999,030,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,872,458 : 916,153,844 = 916,153,844 : x
  2. Step 2: Convert to fraction form
    419,872,458/916,153,844 = 916,153,844/x
  3. Step 3: Cross multiply
    419,872,458x = 916,153,844 × 916,153,844
  4. Step 4: Simplify right side
    419,872,458x = 839,337,865,875,976,320
  5. Step 5: Solve for x
    x = 839,337,865,875,976,320/419,872,458
  6. Step 6: Final answer
    x = 1,999,030,538.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.