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Finding the Third Proportional to 654,368 and 1,411,832

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Solution

The third proportional to 654,368 and 1,411,832 is: 3,046,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,368 : 1,411,832 = 1,411,832 : x
  2. Step 2: Convert to fraction form
    654,368/1,411,832 = 1,411,832/x
  3. Step 3: Cross multiply
    654,368x = 1,411,832 × 1,411,832
  4. Step 4: Simplify right side
    654,368x = 1,993,269,596,224
  5. Step 5: Solve for x
    x = 1,993,269,596,224/654,368
  6. Step 6: Final answer
    x = 3,046,098.83

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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.