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Finding the Third Proportional to 745,780 and 1,118,454

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Solution

The third proportional to 745,780 and 1,118,454 is: 1,677,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,780 : 1,118,454 = 1,118,454 : x
  2. Step 2: Convert to fraction form
    745,780/1,118,454 = 1,118,454/x
  3. Step 3: Cross multiply
    745,780x = 1,118,454 × 1,118,454
  4. Step 4: Simplify right side
    745,780x = 1,250,939,350,116
  5. Step 5: Solve for x
    x = 1,250,939,350,116/745,780
  6. Step 6: Final answer
    x = 1,677,357.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.