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Finding the Third Proportional to 1,774,059 and 2,779,773

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Solution

The third proportional to 1,774,059 and 2,779,773 is: 4,355,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,059 : 2,779,773 = 2,779,773 : x
  2. Step 2: Convert to fraction form
    1,774,059/2,779,773 = 2,779,773/x
  3. Step 3: Cross multiply
    1,774,059x = 2,779,773 × 2,779,773
  4. Step 4: Simplify right side
    1,774,059x = 7,727,137,931,529
  5. Step 5: Solve for x
    x = 7,727,137,931,529/1,774,059
  6. Step 6: Final answer
    x = 4,355,626.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.