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Finding the Third Proportional to 290,146,596 and 637,293,252

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Solution

The third proportional to 290,146,596 and 637,293,252 is: 1,399,784,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,146,596 : 637,293,252 = 637,293,252 : x
  2. Step 2: Convert to fraction form
    290,146,596/637,293,252 = 637,293,252/x
  3. Step 3: Cross multiply
    290,146,596x = 637,293,252 × 637,293,252
  4. Step 4: Simplify right side
    290,146,596x = 406,142,689,044,735,488
  5. Step 5: Solve for x
    x = 406,142,689,044,735,488/290,146,596
  6. Step 6: Final answer
    x = 1,399,784,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.