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Finding the Third Proportional to 870,829 and 1,345,071

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Solution

The third proportional to 870,829 and 1,345,071 is: 2,077,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,829 : 1,345,071 = 1,345,071 : x
  2. Step 2: Convert to fraction form
    870,829/1,345,071 = 1,345,071/x
  3. Step 3: Cross multiply
    870,829x = 1,345,071 × 1,345,071
  4. Step 4: Simplify right side
    870,829x = 1,809,215,995,041
  5. Step 5: Solve for x
    x = 1,809,215,995,041/870,829
  6. Step 6: Final answer
    x = 2,077,578.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.