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Finding the Third Proportional to 1,377,164 and 2,983,024

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Solution

The third proportional to 1,377,164 and 2,983,024 is: 6,461,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,164 : 2,983,024 = 2,983,024 : x
  2. Step 2: Convert to fraction form
    1,377,164/2,983,024 = 2,983,024/x
  3. Step 3: Cross multiply
    1,377,164x = 2,983,024 × 2,983,024
  4. Step 4: Simplify right side
    1,377,164x = 8,898,432,184,576
  5. Step 5: Solve for x
    x = 8,898,432,184,576/1,377,164
  6. Step 6: Final answer
    x = 6,461,417.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.