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Finding the Third Proportional to 501,574 and 1,096,461

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Solution

The third proportional to 501,574 and 1,096,461 is: 2,396,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,574 : 1,096,461 = 1,096,461 : x
  2. Step 2: Convert to fraction form
    501,574/1,096,461 = 1,096,461/x
  3. Step 3: Cross multiply
    501,574x = 1,096,461 × 1,096,461
  4. Step 4: Simplify right side
    501,574x = 1,202,226,724,521
  5. Step 5: Solve for x
    x = 1,202,226,724,521/501,574
  6. Step 6: Final answer
    x = 2,396,907.98

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