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Finding the Third Proportional to 870,802 and 1,345,037

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Solution

The third proportional to 870,802 and 1,345,037 is: 2,077,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,802 : 1,345,037 = 1,345,037 : x
  2. Step 2: Convert to fraction form
    870,802/1,345,037 = 1,345,037/x
  3. Step 3: Cross multiply
    870,802x = 1,345,037 × 1,345,037
  4. Step 4: Simplify right side
    870,802x = 1,809,124,531,369
  5. Step 5: Solve for x
    x = 1,809,124,531,369/870,802
  6. Step 6: Final answer
    x = 2,077,538.33

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Why These Related Problems?

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