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Finding the Third Proportional to 493,205 and 1,077,730

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Solution

The third proportional to 493,205 and 1,077,730 is: 2,355,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,205 : 1,077,730 = 1,077,730 : x
  2. Step 2: Convert to fraction form
    493,205/1,077,730 = 1,077,730/x
  3. Step 3: Cross multiply
    493,205x = 1,077,730 × 1,077,730
  4. Step 4: Simplify right side
    493,205x = 1,161,501,952,900
  5. Step 5: Solve for x
    x = 1,161,501,952,900/493,205
  6. Step 6: Final answer
    x = 2,355,008.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.