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Finding the Third Proportional to 1,846,307.25 and 2,709,554.63

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Solution

The third proportional to 1,846,307.25 and 2,709,554.63 is: 3,976,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,307.25 : 2,709,554.63 = 2,709,554.63 : x
  2. Step 2: Convert to fraction form
    1,846,307.25/2,709,554.63 = 2,709,554.63/x
  3. Step 3: Cross multiply
    1,846,307.25x = 2,709,554.63 × 2,709,554.63
  4. Step 4: Simplify right side
    1,846,307.25x = 7,341,686,265,858.89
  5. Step 5: Solve for x
    x = 7,341,686,265,858.89/1,846,307.25
  6. Step 6: Final answer
    x = 3,976,416.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.