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Finding the Third Proportional to 477,136 and 1,029,002

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Solution

The third proportional to 477,136 and 1,029,002 is: 2,219,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,136 : 1,029,002 = 1,029,002 : x
  2. Step 2: Convert to fraction form
    477,136/1,029,002 = 1,029,002/x
  3. Step 3: Cross multiply
    477,136x = 1,029,002 × 1,029,002
  4. Step 4: Simplify right side
    477,136x = 1,058,845,116,004
  5. Step 5: Solve for x
    x = 1,058,845,116,004/477,136
  6. Step 6: Final answer
    x = 2,219,168.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.