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Finding the Third Proportional to 1,357,932 and 2,977,008

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Solution

The third proportional to 1,357,932 and 2,977,008 is: 6,526,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,932 : 2,977,008 = 2,977,008 : x
  2. Step 2: Convert to fraction form
    1,357,932/2,977,008 = 2,977,008/x
  3. Step 3: Cross multiply
    1,357,932x = 2,977,008 × 2,977,008
  4. Step 4: Simplify right side
    1,357,932x = 8,862,576,632,064
  5. Step 5: Solve for x
    x = 8,862,576,632,064/1,357,932
  6. Step 6: Final answer
    x = 6,526,524.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.