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Finding the Third Proportional to 514,017 and 1,113,840

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Solution

The third proportional to 514,017 and 1,113,840 is: 2,413,615.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,017 : 1,113,840 = 1,113,840 : x
  2. Step 2: Convert to fraction form
    514,017/1,113,840 = 1,113,840/x
  3. Step 3: Cross multiply
    514,017x = 1,113,840 × 1,113,840
  4. Step 4: Simplify right side
    514,017x = 1,240,639,545,600
  5. Step 5: Solve for x
    x = 1,240,639,545,600/514,017
  6. Step 6: Final answer
    x = 2,413,615.79

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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.