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Finding the Third Proportional to 593,568 and 1,280,448

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Solution

The third proportional to 593,568 and 1,280,448 is: 2,762,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,568 : 1,280,448 = 1,280,448 : x
  2. Step 2: Convert to fraction form
    593,568/1,280,448 = 1,280,448/x
  3. Step 3: Cross multiply
    593,568x = 1,280,448 × 1,280,448
  4. Step 4: Simplify right side
    593,568x = 1,639,547,080,704
  5. Step 5: Solve for x
    x = 1,639,547,080,704/593,568
  6. Step 6: Final answer
    x = 2,762,189.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.