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Finding the Third Proportional to 473,936 and 1,009,248

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Solution

The third proportional to 473,936 and 1,009,248 is: 2,149,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,936 : 1,009,248 = 1,009,248 : x
  2. Step 2: Convert to fraction form
    473,936/1,009,248 = 1,009,248/x
  3. Step 3: Cross multiply
    473,936x = 1,009,248 × 1,009,248
  4. Step 4: Simplify right side
    473,936x = 1,018,581,525,504
  5. Step 5: Solve for x
    x = 1,018,581,525,504/473,936
  6. Step 6: Final answer
    x = 2,149,196.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.