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Finding the Third Proportional to 870,942 and 1,776,874.50

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Solution

The third proportional to 870,942 and 1,776,874.50 is: 3,625,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,942 : 1,776,874.50 = 1,776,874.50 : x
  2. Step 2: Convert to fraction form
    870,942/1,776,874.50 = 1,776,874.50/x
  3. Step 3: Cross multiply
    870,942x = 1,776,874.50 × 1,776,874.50
  4. Step 4: Simplify right side
    870,942x = 3,157,282,988,750.25
  5. Step 5: Solve for x
    x = 3,157,282,988,750.25/870,942
  6. Step 6: Final answer
    x = 3,625,135.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.