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Finding the Third Proportional to 518,026 and 1,061,730

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Solution

The third proportional to 518,026 and 1,061,730 is: 2,176,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,026 : 1,061,730 = 1,061,730 : x
  2. Step 2: Convert to fraction form
    518,026/1,061,730 = 1,061,730/x
  3. Step 3: Cross multiply
    518,026x = 1,061,730 × 1,061,730
  4. Step 4: Simplify right side
    518,026x = 1,127,270,592,900
  5. Step 5: Solve for x
    x = 1,127,270,592,900/518,026
  6. Step 6: Final answer
    x = 2,176,088.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.