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Finding the Third Proportional to 580,292,962 and 1,274,586,050

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Solution

The third proportional to 580,292,962 and 1,274,586,050 is: 2,799,567,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,292,962 : 1,274,586,050 = 1,274,586,050 : x
  2. Step 2: Convert to fraction form
    580,292,962/1,274,586,050 = 1,274,586,050/x
  3. Step 3: Cross multiply
    580,292,962x = 1,274,586,050 × 1,274,586,050
  4. Step 4: Simplify right side
    580,292,962x = 1,624,569,598,854,602,496
  5. Step 5: Solve for x
    x = 1,624,569,598,854,602,496/580,292,962
  6. Step 6: Final answer
    x = 2,799,567,985.89

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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.