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Finding the Third Proportional to 483,414 and 1,036,776

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Solution

The third proportional to 483,414 and 1,036,776 is: 2,223,569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,414 : 1,036,776 = 1,036,776 : x
  2. Step 2: Convert to fraction form
    483,414/1,036,776 = 1,036,776/x
  3. Step 3: Cross multiply
    483,414x = 1,036,776 × 1,036,776
  4. Step 4: Simplify right side
    483,414x = 1,074,904,474,176
  5. Step 5: Solve for x
    x = 1,074,904,474,176/483,414
  6. Step 6: Final answer
    x = 2,223,569.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.