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Finding the Third Proportional to 980,770 and 2,111,827.75

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Solution

The third proportional to 980,770 and 2,111,827.75 is: 4,547,260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,770 : 2,111,827.75 = 2,111,827.75 : x
  2. Step 2: Convert to fraction form
    980,770/2,111,827.75 = 2,111,827.75/x
  3. Step 3: Cross multiply
    980,770x = 2,111,827.75 × 2,111,827.75
  4. Step 4: Simplify right side
    980,770x = 4,459,816,445,670.06
  5. Step 5: Solve for x
    x = 4,459,816,445,670.06/980,770
  6. Step 6: Final answer
    x = 4,547,260.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.