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Finding the Third Proportional to 1,999,834.31 and 4,717,952.16

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Solution

The third proportional to 1,999,834.31 and 4,717,952.16 is: 11,130,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,834.31 : 4,717,952.16 = 4,717,952.16 : x
  2. Step 2: Convert to fraction form
    1,999,834.31/4,717,952.16 = 4,717,952.16/x
  3. Step 3: Cross multiply
    1,999,834.31x = 4,717,952.16 × 4,717,952.16
  4. Step 4: Simplify right side
    1,999,834.31x = 22,259,072,548,664.02
  5. Step 5: Solve for x
    x = 22,259,072,548,664.02/1,999,834.31
  6. Step 6: Final answer
    x = 11,130,458.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.