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Finding the Third Proportional to 977,980 and 1,496,024

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Solution

The third proportional to 977,980 and 1,496,024 is: 2,288,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,980 : 1,496,024 = 1,496,024 : x
  2. Step 2: Convert to fraction form
    977,980/1,496,024 = 1,496,024/x
  3. Step 3: Cross multiply
    977,980x = 1,496,024 × 1,496,024
  4. Step 4: Simplify right side
    977,980x = 2,238,087,808,576
  5. Step 5: Solve for x
    x = 2,238,087,808,576/977,980
  6. Step 6: Final answer
    x = 2,288,480.14

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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.