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Finding the Third Proportional to 870,828 and 1,345,069

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Solution

The third proportional to 870,828 and 1,345,069 is: 2,077,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,828 : 1,345,069 = 1,345,069 : x
  2. Step 2: Convert to fraction form
    870,828/1,345,069 = 1,345,069/x
  3. Step 3: Cross multiply
    870,828x = 1,345,069 × 1,345,069
  4. Step 4: Simplify right side
    870,828x = 1,809,210,614,761
  5. Step 5: Solve for x
    x = 1,809,210,614,761/870,828
  6. Step 6: Final answer
    x = 2,077,575.15

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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.