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Finding the Third Proportional to 658,000,426 and 1,022,142,174

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Solution

The third proportional to 658,000,426 and 1,022,142,174 is: 1,587,802,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,000,426 : 1,022,142,174 = 1,022,142,174 : x
  2. Step 2: Convert to fraction form
    658,000,426/1,022,142,174 = 1,022,142,174/x
  3. Step 3: Cross multiply
    658,000,426x = 1,022,142,174 × 1,022,142,174
  4. Step 4: Simplify right side
    658,000,426x = 1,044,774,623,869,446,272
  5. Step 5: Solve for x
    x = 1,044,774,623,869,446,272/658,000,426
  6. Step 6: Final answer
    x = 1,587,802,351.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.