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Finding the Third Proportional to 502,809,710 and 1,082,464,030

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Solution

The third proportional to 502,809,710 and 1,082,464,030 is: 2,330,361,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,809,710 : 1,082,464,030 = 1,082,464,030 : x
  2. Step 2: Convert to fraction form
    502,809,710/1,082,464,030 = 1,082,464,030/x
  3. Step 3: Cross multiply
    502,809,710x = 1,082,464,030 × 1,082,464,030
  4. Step 4: Simplify right side
    502,809,710x = 1,171,728,376,243,841,024
  5. Step 5: Solve for x
    x = 1,171,728,376,243,841,024/502,809,710
  6. Step 6: Final answer
    x = 2,330,361,472.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.