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Finding the Third Proportional to 575,936 and 1,256,685

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Solution

The third proportional to 575,936 and 1,256,685 is: 2,742,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,936 : 1,256,685 = 1,256,685 : x
  2. Step 2: Convert to fraction form
    575,936/1,256,685 = 1,256,685/x
  3. Step 3: Cross multiply
    575,936x = 1,256,685 × 1,256,685
  4. Step 4: Simplify right side
    575,936x = 1,579,257,189,225
  5. Step 5: Solve for x
    x = 1,579,257,189,225/575,936
  6. Step 6: Final answer
    x = 2,742,070.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.