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Finding the Third Proportional to 685,221,136 and 1,015,388,040

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Solution

The third proportional to 685,221,136 and 1,015,388,040 is: 1,504,642,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,221,136 : 1,015,388,040 = 1,015,388,040 : x
  2. Step 2: Convert to fraction form
    685,221,136/1,015,388,040 = 1,015,388,040/x
  3. Step 3: Cross multiply
    685,221,136x = 1,015,388,040 × 1,015,388,040
  4. Step 4: Simplify right side
    685,221,136x = 1,031,012,871,775,041,536
  5. Step 5: Solve for x
    x = 1,031,012,871,775,041,536/685,221,136
  6. Step 6: Final answer
    x = 1,504,642,541.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.