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Finding the Third Proportional to 2,182,947 and 4,592,106

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Solution

The third proportional to 2,182,947 and 4,592,106 is: 9,660,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,947 : 4,592,106 = 4,592,106 : x
  2. Step 2: Convert to fraction form
    2,182,947/4,592,106 = 4,592,106/x
  3. Step 3: Cross multiply
    2,182,947x = 4,592,106 × 4,592,106
  4. Step 4: Simplify right side
    2,182,947x = 21,087,437,515,236
  5. Step 5: Solve for x
    x = 21,087,437,515,236/2,182,947
  6. Step 6: Final answer
    x = 9,660,077.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.