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Finding the Third Proportional to 768,656.38 and 1,779,477.25

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Solution

The third proportional to 768,656.38 and 1,779,477.25 is: 4,119,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,656.38 : 1,779,477.25 = 1,779,477.25 : x
  2. Step 2: Convert to fraction form
    768,656.38/1,779,477.25 = 1,779,477.25/x
  3. Step 3: Cross multiply
    768,656.38x = 1,779,477.25 × 1,779,477.25
  4. Step 4: Simplify right side
    768,656.38x = 3,166,539,283,267.56
  5. Step 5: Solve for x
    x = 3,166,539,283,267.56/768,656.38
  6. Step 6: Final answer
    x = 4,119,577.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.