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Finding the Third Proportional to 1,314,872 and 2,829,486

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Solution

The third proportional to 1,314,872 and 2,829,486 is: 6,088,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,872 : 2,829,486 = 2,829,486 : x
  2. Step 2: Convert to fraction form
    1,314,872/2,829,486 = 2,829,486/x
  3. Step 3: Cross multiply
    1,314,872x = 2,829,486 × 2,829,486
  4. Step 4: Simplify right side
    1,314,872x = 8,005,991,024,196
  5. Step 5: Solve for x
    x = 8,005,991,024,196/1,314,872
  6. Step 6: Final answer
    x = 6,088,798.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.