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Finding the Third Proportional to 501,380,586 and 1,099,616,301

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Solution

The third proportional to 501,380,586 and 1,099,616,301 is: 2,411,653,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,380,586 : 1,099,616,301 = 1,099,616,301 : x
  2. Step 2: Convert to fraction form
    501,380,586/1,099,616,301 = 1,099,616,301/x
  3. Step 3: Cross multiply
    501,380,586x = 1,099,616,301 × 1,099,616,301
  4. Step 4: Simplify right side
    501,380,586x = 1,209,156,009,424,922,624
  5. Step 5: Solve for x
    x = 1,209,156,009,424,922,624/501,380,586
  6. Step 6: Final answer
    x = 2,411,653,030.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.