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Finding the Third Proportional to 499,476 and 1,070,412

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Solution

The third proportional to 499,476 and 1,070,412 is: 2,293,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,476 : 1,070,412 = 1,070,412 : x
  2. Step 2: Convert to fraction form
    499,476/1,070,412 = 1,070,412/x
  3. Step 3: Cross multiply
    499,476x = 1,070,412 × 1,070,412
  4. Step 4: Simplify right side
    499,476x = 1,145,781,849,744
  5. Step 5: Solve for x
    x = 1,145,781,849,744/499,476
  6. Step 6: Final answer
    x = 2,293,967.78

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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.