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Finding the Third Proportional to 412,146 and 878,730

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Solution

The third proportional to 412,146 and 878,730 is: 1,873,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,146 : 878,730 = 878,730 : x
  2. Step 2: Convert to fraction form
    412,146/878,730 = 878,730/x
  3. Step 3: Cross multiply
    412,146x = 878,730 × 878,730
  4. Step 4: Simplify right side
    412,146x = 772,166,412,900
  5. Step 5: Solve for x
    x = 772,166,412,900/412,146
  6. Step 6: Final answer
    x = 1,873,526.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.