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Finding the Third Proportional to 978,028 and 1,496,106

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Solution

The third proportional to 978,028 and 1,496,106 is: 2,288,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,028 : 1,496,106 = 1,496,106 : x
  2. Step 2: Convert to fraction form
    978,028/1,496,106 = 1,496,106/x
  3. Step 3: Cross multiply
    978,028x = 1,496,106 × 1,496,106
  4. Step 4: Simplify right side
    978,028x = 2,238,333,163,236
  5. Step 5: Solve for x
    x = 2,238,333,163,236/978,028
  6. Step 6: Final answer
    x = 2,288,618.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.