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Finding the Third Proportional to 745,876 and 1,609,688

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Solution

The third proportional to 745,876 and 1,609,688 is: 3,473,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,876 : 1,609,688 = 1,609,688 : x
  2. Step 2: Convert to fraction form
    745,876/1,609,688 = 1,609,688/x
  3. Step 3: Cross multiply
    745,876x = 1,609,688 × 1,609,688
  4. Step 4: Simplify right side
    745,876x = 2,591,095,457,344
  5. Step 5: Solve for x
    x = 2,591,095,457,344/745,876
  6. Step 6: Final answer
    x = 3,473,895.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.