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Finding the Third Proportional to 1,314,592 and 2,828,448

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Solution

The third proportional to 1,314,592 and 2,828,448 is: 6,085,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,592 : 2,828,448 = 2,828,448 : x
  2. Step 2: Convert to fraction form
    1,314,592/2,828,448 = 2,828,448/x
  3. Step 3: Cross multiply
    1,314,592x = 2,828,448 × 2,828,448
  4. Step 4: Simplify right side
    1,314,592x = 8,000,118,088,704
  5. Step 5: Solve for x
    x = 8,000,118,088,704/1,314,592
  6. Step 6: Final answer
    x = 6,085,628.16

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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.