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Finding the Third Proportional to 599,510,501 and 899,265,690.50

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Solution

The third proportional to 599,510,501 and 899,265,690.50 is: 1,348,898,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,510,501 : 899,265,690.50 = 899,265,690.50 : x
  2. Step 2: Convert to fraction form
    599,510,501/899,265,690.50 = 899,265,690.50/x
  3. Step 3: Cross multiply
    599,510,501x = 899,265,690.50 × 899,265,690.50
  4. Step 4: Simplify right side
    599,510,501x = 808,678,782,110,441,728
  5. Step 5: Solve for x
    x = 808,678,782,110,441,728/599,510,501
  6. Step 6: Final answer
    x = 1,348,898,444.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.