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Finding the Third Proportional to 2,261,409.75 and 4,921,488

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Solution

The third proportional to 2,261,409.75 and 4,921,488 is: 10,710,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,409.75 : 4,921,488 = 4,921,488 : x
  2. Step 2: Convert to fraction form
    2,261,409.75/4,921,488 = 4,921,488/x
  3. Step 3: Cross multiply
    2,261,409.75x = 4,921,488 × 4,921,488
  4. Step 4: Simplify right side
    2,261,409.75x = 24,221,044,134,144
  5. Step 5: Solve for x
    x = 24,221,044,134,144/2,261,409.75
  6. Step 6: Final answer
    x = 10,710,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.