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Finding the Third Proportional to 492,864 and 1,037,248

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Solution

The third proportional to 492,864 and 1,037,248 is: 2,182,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864 : 1,037,248 = 1,037,248 : x
  2. Step 2: Convert to fraction form
    492,864/1,037,248 = 1,037,248/x
  3. Step 3: Cross multiply
    492,864x = 1,037,248 × 1,037,248
  4. Step 4: Simplify right side
    492,864x = 1,075,883,413,504
  5. Step 5: Solve for x
    x = 1,075,883,413,504/492,864
  6. Step 6: Final answer
    x = 2,182,921.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.