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Finding the Third Proportional to 907,821 and 1,955,686.50

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Solution

The third proportional to 907,821 and 1,955,686.50 is: 4,213,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,821 : 1,955,686.50 = 1,955,686.50 : x
  2. Step 2: Convert to fraction form
    907,821/1,955,686.50 = 1,955,686.50/x
  3. Step 3: Cross multiply
    907,821x = 1,955,686.50 × 1,955,686.50
  4. Step 4: Simplify right side
    907,821x = 3,824,709,686,282.25
  5. Step 5: Solve for x
    x = 3,824,709,686,282.25/907,821
  6. Step 6: Final answer
    x = 4,213,065.89

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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.