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Finding the Third Proportional to 513,009 and 1,113,633

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Solution

The third proportional to 513,009 and 1,113,633 is: 2,417,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,009 : 1,113,633 = 1,113,633 : x
  2. Step 2: Convert to fraction form
    513,009/1,113,633 = 1,113,633/x
  3. Step 3: Cross multiply
    513,009x = 1,113,633 × 1,113,633
  4. Step 4: Simplify right side
    513,009x = 1,240,178,458,689
  5. Step 5: Solve for x
    x = 1,240,178,458,689/513,009
  6. Step 6: Final answer
    x = 2,417,459.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.