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Finding the Third Proportional to 977,998 and 1,496,056

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Solution

The third proportional to 977,998 and 1,496,056 is: 2,288,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,998 : 1,496,056 = 1,496,056 : x
  2. Step 2: Convert to fraction form
    977,998/1,496,056 = 1,496,056/x
  3. Step 3: Cross multiply
    977,998x = 1,496,056 × 1,496,056
  4. Step 4: Simplify right side
    977,998x = 2,238,183,555,136
  5. Step 5: Solve for x
    x = 2,238,183,555,136/977,998
  6. Step 6: Final answer
    x = 2,288,535.92

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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.