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Finding the Third Proportional to 514,010 and 1,113,827

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Solution

The third proportional to 514,010 and 1,113,827 is: 2,413,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,010 : 1,113,827 = 1,113,827 : x
  2. Step 2: Convert to fraction form
    514,010/1,113,827 = 1,113,827/x
  3. Step 3: Cross multiply
    514,010x = 1,113,827 × 1,113,827
  4. Step 4: Simplify right side
    514,010x = 1,240,610,585,929
  5. Step 5: Solve for x
    x = 1,240,610,585,929/514,010
  6. Step 6: Final answer
    x = 2,413,592.32

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