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Finding the Third Proportional to 501,280 and 1,082,461

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Solution

The third proportional to 501,280 and 1,082,461 is: 2,337,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,280 : 1,082,461 = 1,082,461 : x
  2. Step 2: Convert to fraction form
    501,280/1,082,461 = 1,082,461/x
  3. Step 3: Cross multiply
    501,280x = 1,082,461 × 1,082,461
  4. Step 4: Simplify right side
    501,280x = 1,171,721,816,521
  5. Step 5: Solve for x
    x = 1,171,721,816,521/501,280
  6. Step 6: Final answer
    x = 2,337,459.74

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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.