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Finding the Third Proportional to 574,487,802 and 909,827,100

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Solution

The third proportional to 574,487,802 and 909,827,100 is: 1,440,910,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,487,802 : 909,827,100 = 909,827,100 : x
  2. Step 2: Convert to fraction form
    574,487,802/909,827,100 = 909,827,100/x
  3. Step 3: Cross multiply
    574,487,802x = 909,827,100 × 909,827,100
  4. Step 4: Simplify right side
    574,487,802x = 827,785,351,894,409,984
  5. Step 5: Solve for x
    x = 827,785,351,894,409,984/574,487,802
  6. Step 6: Final answer
    x = 1,440,910,231.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.