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Finding the Third Proportional to 461,096,952 and 988,092,588

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Solution

The third proportional to 461,096,952 and 988,092,588 is: 2,117,400,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,096,952 : 988,092,588 = 988,092,588 : x
  2. Step 2: Convert to fraction form
    461,096,952/988,092,588 = 988,092,588/x
  3. Step 3: Cross multiply
    461,096,952x = 988,092,588 × 988,092,588
  4. Step 4: Simplify right side
    461,096,952x = 976,326,962,460,537,728
  5. Step 5: Solve for x
    x = 976,326,962,460,537,728/461,096,952
  6. Step 6: Final answer
    x = 2,117,400,599.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.