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Finding the Third Proportional to 599,510,502 and 899,265,692.25

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Solution

The third proportional to 599,510,502 and 899,265,692.25 is: 1,348,898,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,510,502 : 899,265,692.25 = 899,265,692.25 : x
  2. Step 2: Convert to fraction form
    599,510,502/899,265,692.25 = 899,265,692.25/x
  3. Step 3: Cross multiply
    599,510,502x = 899,265,692.25 × 899,265,692.25
  4. Step 4: Simplify right side
    599,510,502x = 808,678,785,257,871,744
  5. Step 5: Solve for x
    x = 808,678,785,257,871,744/599,510,502
  6. Step 6: Final answer
    x = 1,348,898,447.25

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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.