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Finding the Third Proportional to 907,276 and 1,977,848

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Solution

The third proportional to 907,276 and 1,977,848 is: 4,311,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,276 : 1,977,848 = 1,977,848 : x
  2. Step 2: Convert to fraction form
    907,276/1,977,848 = 1,977,848/x
  3. Step 3: Cross multiply
    907,276x = 1,977,848 × 1,977,848
  4. Step 4: Simplify right side
    907,276x = 3,911,882,711,104
  5. Step 5: Solve for x
    x = 3,911,882,711,104/907,276
  6. Step 6: Final answer
    x = 4,311,678.82

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