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Finding the Third Proportional to 745,314 and 1,053,600

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Solution

The third proportional to 745,314 and 1,053,600 is: 1,489,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,314 : 1,053,600 = 1,053,600 : x
  2. Step 2: Convert to fraction form
    745,314/1,053,600 = 1,053,600/x
  3. Step 3: Cross multiply
    745,314x = 1,053,600 × 1,053,600
  4. Step 4: Simplify right side
    745,314x = 1,110,072,960,000
  5. Step 5: Solve for x
    x = 1,110,072,960,000/745,314
  6. Step 6: Final answer
    x = 1,489,403.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.