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Finding the Third Proportional to 604,148,817.38 and 902,502,489.80

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Solution

The third proportional to 604,148,817.38 and 902,502,489.80 is: 1,348,195,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,148,817.38 : 902,502,489.80 = 902,502,489.80 : x
  2. Step 2: Convert to fraction form
    604,148,817.38/902,502,489.80 = 902,502,489.80/x
  3. Step 3: Cross multiply
    604,148,817.38x = 902,502,489.80 × 902,502,489.80
  4. Step 4: Simplify right side
    604,148,817.38x = 814,510,744,089,567,488
  5. Step 5: Solve for x
    x = 814,510,744,089,567,488/604,148,817.38
  6. Step 6: Final answer
    x = 1,348,195,544.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.