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Finding the Third Proportional to 1,127,945.25 and 2,348,834.63

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Solution

The third proportional to 1,127,945.25 and 2,348,834.63 is: 4,891,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,945.25 : 2,348,834.63 = 2,348,834.63 : x
  2. Step 2: Convert to fraction form
    1,127,945.25/2,348,834.63 = 2,348,834.63/x
  3. Step 3: Cross multiply
    1,127,945.25x = 2,348,834.63 × 2,348,834.63
  4. Step 4: Simplify right side
    1,127,945.25x = 5,517,024,095,598.89
  5. Step 5: Solve for x
    x = 5,517,024,095,598.89/1,127,945.25
  6. Step 6: Final answer
    x = 4,891,216.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.