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Finding the Third Proportional to 539,100,460 and 788,433,042

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Solution

The third proportional to 539,100,460 and 788,433,042 is: 1,153,081,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,100,460 : 788,433,042 = 788,433,042 : x
  2. Step 2: Convert to fraction form
    539,100,460/788,433,042 = 788,433,042/x
  3. Step 3: Cross multiply
    539,100,460x = 788,433,042 × 788,433,042
  4. Step 4: Simplify right side
    539,100,460x = 621,626,661,717,373,824
  5. Step 5: Solve for x
    x = 621,626,661,717,373,824/539,100,460
  6. Step 6: Final answer
    x = 1,153,081,304.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.