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Finding the Third Proportional to 786,010 and 1,684,178

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Solution

The third proportional to 786,010 and 1,684,178 is: 3,608,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,010 : 1,684,178 = 1,684,178 : x
  2. Step 2: Convert to fraction form
    786,010/1,684,178 = 1,684,178/x
  3. Step 3: Cross multiply
    786,010x = 1,684,178 × 1,684,178
  4. Step 4: Simplify right side
    786,010x = 2,836,455,535,684
  5. Step 5: Solve for x
    x = 2,836,455,535,684/786,010
  6. Step 6: Final answer
    x = 3,608,676.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.