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Finding the Third Proportional to 1,009,800 and 2,161,442.25

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Solution

The third proportional to 1,009,800 and 2,161,442.25 is: 4,626,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,800 : 2,161,442.25 = 2,161,442.25 : x
  2. Step 2: Convert to fraction form
    1,009,800/2,161,442.25 = 2,161,442.25/x
  3. Step 3: Cross multiply
    1,009,800x = 2,161,442.25 × 2,161,442.25
  4. Step 4: Simplify right side
    1,009,800x = 4,671,832,600,085.06
  5. Step 5: Solve for x
    x = 4,671,832,600,085.06/1,009,800
  6. Step 6: Final answer
    x = 4,626,492.97

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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.