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Finding the Third Proportional to 1,151,379,588 and 1,683,889,695

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Solution

The third proportional to 1,151,379,588 and 1,683,889,695 is: 2,462,684,360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,379,588 : 1,683,889,695 = 1,683,889,695 : x
  2. Step 2: Convert to fraction form
    1,151,379,588/1,683,889,695 = 1,683,889,695/x
  3. Step 3: Cross multiply
    1,151,379,588x = 1,683,889,695 × 1,683,889,695
  4. Step 4: Simplify right side
    1,151,379,588x = 2,835,484,504,927,193,088
  5. Step 5: Solve for x
    x = 2,835,484,504,927,193,088/1,151,379,588
  6. Step 6: Final answer
    x = 2,462,684,360.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.